Hello John!
First of all, Saturn is an important planet in people's chart - yes - but it isn't everything. You have to look at the whole chart to see how each planet is functioning in signs and houses and many considerations. There are a number of ways astrologers give importance to a planet. Here are some of the top reasons:
1. If a planet is on an angle - the ASC, DSC, MC or IC
2. If the planet rules the chart - the ruler of the ASC.
3. If a planet is a final dispositor.
4. If a planet is in dignity or exaltation.
5. If a planet strongly aspects Sun or Moon
6. If a planet is the handle of a bucket or the apex of a T-square or the lead planet in a locomotive pattern or bowl pattern.
7. The planet ruling north and south nodes of the moon.
Anyway, Saturn doesn't have to be difficult no matter what house it is in. It does tend to keep on focused narrowly on the sign and house it is in. If it is conjunct other planets like in your case, Saturn is influenced by those planets.
Your Saturn is strong in Capricorn but then is altered by Neptune. Uranus is a bit far from it. Some astrologers would consider it an influence if they use wide angles. Your Moon is a bit far from it and in Sagittarius, so not a factor where your Saturn is concerned. It's Neptune that is the strongest influence. It would bring a sense of spaciousness and a "letting go" quality to it than it'd have otherwise. You could say that it weakens your Saturn focus there. It could invite more creativity, more imagination, more spacing out, forgetting, or being less narrowly focused. It could be positive or negative depending on how you relate to this or use it.
The 5th house is many things. It's your creative self-expression, your sense of play and fun, your children, love affairs, your sense of who you are and the roles you are trying on in life. The Sun rules your chart, as you have a Leo rising. The Sun naturally rules the 5th house. Sun, Leo, 5th house - for you - are very important. So in that way, Saturn with the other planets in the 5th, are all important.
Saturn naturally rules Capricorn, and it's in Capricorn, while your Sun is in the 10th (3 degrees from the cusp moves it in the 10th) - Capricorn's natural house. Yes, Venus conjunct the Sun gives you a wonderful kind of charisma and it's strong in Taurus, a sign it rules. These are trine your Saturn.
Saturn itself makes you focus narrowly on the sign and house it's in - so for you - that is work. Sun conjunct Venus in the 10th house of Career - is work. Being in the 5th house, I'd say you need to have a creative profession or one in which you can exercise your creativity. Venus can be very creative. It doesn't have to be a typical artsy creativity but it can be. You're probably drawn to music or art.
But most important, because of your Leo rising, I'd say that you are here to develop a positive sense of self, to express yourself, to learn to have fun and be playful - because you are very goal-oriented with that Sag Moon and you are serious and hardworking with Capricorn planets and planets in the 10th.
With that Virgo south node, you feel a lot of responsibility - and you're a perfectionist. You're never good enough and you work hard to be better. It's a huge part of who you are. That Neptune conjunct Saturn might actually make you feel like you have more room to move.
It's Pluto in Scorpio on the IC that makes me think that you feel a lot of pressure to change yourself from the inside out - and that's a big conflict with your Leo rising. Leo rising wants to be noticed, to be seen, to be heard, to have an audience, to be enjoyed by others. But Pluto in Scorpio is ruling your most intimate private self. That can make you moody and very focused on your psychological self - your deepest sense of self - and you feel it is of the utmost importance to change and grow and become. It can make you cautious if not fearful of other people. You are quite sensitive to how others treat you.
Your Sag Moon likes the 5th house - and the 5th house is actually ruled by Jupiter. Your Saturn, Neptune and Uranus must express through Sagittarius to have any fulfillment. Your Saturn is more fluid for a reason. If you are here to truly change your inner most self (Pluto conjunct IC in scorpio) then you will need a Saturn that can change structurally. Saturn is structure - how our personality is structured. So, in my mind, this is good. Sagittarius is expansive, growth-oriented and is always setting goals and optimistic about meeting them. This is good.
Try not to get stuck on whether a planet is well-placed or not. You have the perfect chart for you. It's positive. With a Taurus Sun, Venus and Mercury, you will naturally keep busy and keep moving. You won't mind doing menial things. You will enjoy nature and the simple things in life - or if you don't, then this would be a good goal, as Pluto in Scorpio in that placement can be very intense and not all that much fun.
I would suggest doing some kind of creative work if you do not already. It will be good for you - especially music - but anything creative. Don't expect a ready-made audience. You will want to stand out as different (Uranus in Capricorn, 5th). You might have a smaller audience for what you do. Don't wait around for people to like what you do, but follow your instincts. Do what is fun and interesting - and perfect it. But then, also, let go of wanting certain outcomes. You are someone who just has to go with what comes to you from the inside out - and trust that. But you will also want feedback from others - it's a bit of a conflict. Maybe you can compromise and sometimes seek feedback from others and other times, go with your gut even when others aren't thinking it's a good idea. If you feel strongly about a project but no one around you is excited about it, seek out fresh eyes and ears. Somebody might see the genius in it when others do not.
To answer your question point blank. NO. Everything in the chart does not depend upon Saturn in the way you are thinking of it. Saturn provides a structure for everything to exist within you, including your soul - provides an interactive highway, so to speak. But, you can't just leave it at that statement you give. Online astrology only gives isolated information - bits here and there. You have to study a long time to see it as an organic whole.