Stripper names are not important to you as a PUA but they are very important to strippers because they affect their earning potential. The wrong stripper name can cost a stripper thousands of dollars in lost hustle proceeds. Thats why you can incoroporate the stripper name discussion into your stripper routine. She's interested because she's interested in making more money.
First off, if a stripper sits down with you and she says her name is Jewel but her real name is Cindy she is doing that for one reason. To make you feel "special". Its part of her hustle. So you will spend more money on her.
One big error strippers make in chosing their name is one that doesn't match their look. If a stripper looks like a innocent schoolgirl and picks a name like "Lust" its going to impact her earning potential. Its incongruent. Something like "Heather" would work better for her hustle if she's a sort of innocent virginal type. On the other hand, if she's a tatooed motorcycle gang looking leather chick, "Heather" just isn't going to cut it.
You also don't want to choose a name that is too common. This is because if you choose a very common name like Susan or Jennifer, it might be the name of the mother-in-law of the guy you are trying to sell a lap dance to.
Place names like Jersey or Phoenix are not that good in my opinion. Thats because people can have negative connotations and it makes you sound like you are on the lam or something. The last stripper that sat with me with a name like Frisco quickly said "but my real name is".
If you do use a normal female name make Christine into Chrissy or Susan into Susie.
Also, if your name is too stupid sounding like Candylicious, old guys potential sugar daddies with money are going to be uncomfortable in using it.
Personally my preference is for a name that conveys a sense of mystery like Magic or Charisma.
My point is that if you talk to her from the standpoint of her earning potential she is going to be interested and its going to show that you are not just the average customer.