Is there really any need to go into such deep theory for something as simple as an approach? This is a problem I have with this site, the means is almost more important than the results. The results should dictate the means.
But more to the point. Direct approaching a woman at a gym while she is focused on her work out is not very effective. It'd be more effective bump into her at the snack bar or while she is resting.
So how do you meet women at the gym????
Here are some effective ways to meet women:
Sign up for classes like yoga, aerobic dance, or taebo. Those are usually filled with women.
Another great way to meet women is to play in some co-ed volleyball. Not only will you share a common interest, but you can show dominance at the same time. (assuming you are good at volleyball).
One more thing you can do is to become a certified instructor and get a job(pt or ft) at the gym.
And approaching her if she was more dolled up? From my experience....her getting seduced when she's not prepping up would've had her more intrigued EVEN more because she can still feel sexy wearing normal stuff. Its funny, one girl at a party after i was teasing her about something with her outfit in an insecure argumentive manner, she's like, "You wouldn't like how i look if i wasn't wearing this!" then i told her, "Bull****

....the best girls are the ones who look good even when they don't have to prep themselves...and who says i wouldn't want to talk to u if u were just wearing sweats? I haven't u wear them yet so how could u be so sure?

" Shes shocked of what i said.
So SharinganUser, if he was more to the point she could've responded better. BUT remember, he was rusty.
I understand what you are saying and I do agree with it to a point. However, in this case, women who get dolled up to go to the gym, are more receptive because they are there to socialize, not work out. A woman who is in sweats, doesn't want to be disturbed while she is working out. If you want a better chance with her, you should wait until she is either changing machines or resting. She'll be to tired to run away atleast

.
Your example is moot because a party is a different setting then a gym. Also You also already had the girls attention, while the OP did not. Not to mention that the girl you were talking to WAS dolled up and receptive to you which only proves my point. Being direct doesn't mean you should ignore the timing of your approach.
I don't want to debate this any further because I don't think this is a topic worthy of much discussion (no offense OP). Approaching women is easy, like tying a shoe lace. Sure we could argue over thread counts, the physics of lace tying and best length for a lace. But what would be the point? Just tie your laces so you don't trip when you approach a woman!