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Has this routine produced any positive results for you aside from simply securing a #?
Exactly.
Use some excuse or trick to get a number is dishonest and unless you make a funny joke out of it later, and then build rapport with her, she'll obviously flake.
If you n-close too quickly, for the most part, again no rapport, flake time.
My fastest closes happen when I run into a shop where a hottie is working and go direct, and straight for the close, because she's fucking working and busy and she'll get in trouble. So I just go straight for it (whole interaction is a couple of minutes, max). Sometimes the sheer confidence is enough, and I've left with this kind of mystery, which keeps her interested enough to want to meet me. Like in this FR
direct-high-impact-vt84665.html
However, in general, a close that isn't at least 5 minutes will probably flake on you because she simply doesn't know who you are enough, and you know nothing about her either.
Furthermore, numbers mean SHIT anyway. If you make the focus of your interaction finding out about her, and you actually set up the day 2 right there before getting the number, you'll reduce your flake rate MASSIVELY.