Degrees are something I've never seen much benefit paying attention to, in and of themselves. Aspects going to and fro matter much more.
A 1 degree Sag moon operates the same as a 28 degree Sag moon. Only difference will be which aspects that moon is making to everything else and which house it is located in.
There is an operational difference between a 1 degree Sun and a 28 degree Sun, for example. And it plays out in progressions.
I have the natal Sun @ 0Scorpio34. So I did not 'progress' into a Taurus Sun until I was almost 30.
My best friend has a 27 degree Scorpio Sun. Her Sun changed signs at age 3.
So I do think there is something different in that way, in terms of the big picture.
Also, when you have personal planets in the final degrees of a sign, the only 'in sign' aspects that can be made are separating aspects. If you have the Moon @ 29 Leo, then any applying aspects are going to be 'out of sign' aspects.