I believe both to work. Regardless of that, I find that in most cases the "opposite" way seems to fit the situations much better, at least to me, but anyone is free to choose the technique they employ. I'll explain a bit of WHY I like the "opposite" way.
EDIT: sorry for the walltext
When you look at most traditional sources talking about reception, most of them never go
deep into the explanation of who has the intention towards who. This all begins with Bonatti's explanation, which can be given a different interpretation.
In essence the explanation given by most authors can be said to be:
When the planets forming an aspect find themselves in each other's dignities (either both, or one of them), the aspect perfects without problem, because of a measure of "good will between them".
The standard interpretation is that the planet who plays "guest" is loved by its "host". This is because the word
reception, decribes the concept of the planet being recieved in the sign of the other.
For example bonatti's example
taken from this post:
http://www.skyscript.co.uk/reception2.html
For example, the Moon was in the third degree of Aries, and Mars (who is the Lord of Aries) was in the eighth degree of Gemini (or Cancer or Leo in front of her; or Aquarius, or Capricorn, or Sagittarius behind her): so the Moon was being received by Mars by aspect, and he was receiving her from his own domicile, and committed to her his own virtue and disposition.
Obviously Bonatti's description of it, is that mars commits its disposition to the moon, but it can very well be given a different interpretation.
Now the way this interpretation is used to, is for the perfection of
events, mostly. Clearly the ancients didn't ask questions as:
"Does he/she love me?"
(-) This is because in the ancient world, or medieval world, you didn't "date", you married someone, and that was forever....so people were more likely to ask about an event perfected. So...usually aspects concerning said event, were better with reception (making the planet more inclined to complete the aspect), but didn't worry about having the person be "in love". In fact you can look at most examples presented by Bonatti, Lilly, etc...most of them ask about an event (marriage), not feelings.
Now the Frawley's interpretation of having receptions work in the opposite way, comes from William Lilly. Most may wonder why, since never lilly uses this way of reception. Except on one situation: when he describes the ruler of the 1st inside the 7th house.
Frawley's theory behind is that, if according to Lilly the person that is inside the other person's house is seriously in love, usually you will find the planet in the dignity of the other (because the 7th is mostly the sign of the other planet).
This does make sense, because usually
the querent loves the quesited, we know this by the simple fact they are asking the question.
But this is from the perspective, on a question about love and feelings, not about a specific event like getting married.
So the way to settle this should be testing it in horary. Here we have a whole forum filled with charts of people who had their hearts broken.
** I should note that, for bonatti, the most important receptions are Regency and exaltation so I'll base it on that.
-------------------------------------------------------------------------
We can obviously pull some updated examples:
1) Posted by user 2112:
http://www.astrologyweekly.com/forum/showthread.php?t=81861
Here we find the querent asking if a relationship will develop. We know the querent likes the quesited (it is implied by the question):
Querent is represented by Mars (1st) / quesited by Venus (7th). Mars is in Piscis, the Exaltation of Venus.
According to the OP's story, the guy hasn't shown much interest in her, but she (the querent) is completly infatuated. So it seems to fit the "opposite reception" theory. If it was the standard way, it should be the other way around.
2) Posted by user NeverSafe:
http://www.astrologyweekly.com/forum/showthread.php?t=80580
Here the querent asks about a guy she "really" likes. She is Venus (1st), he is Mars (7th). Venus is inside the 7th house, in Scorpio the regency of Mars.
-------------------------------------------------------------------------
Most straightfoward questions ("I like him/her, does he/her like me back?"), usually have the 1st ruler or Moon in the dignity of lord 7th. So does this chart
.
...it makes sense, because the querent is the one usually in love.
Other examples:
http://www.astrologyweekly.com/forum/showthread.php?t=80301
http://www.astrologyweekly.com/forum/showthread.php?t=80072
http://www.astrologyweekly.com/forum/showthread.php?t=80026