My dad's insurance works like this. 10 percent co-pay for generic drugs, 20 percent for brand names, and 30 percent for brand names when generics are avaliable. And since Xanax has been out so long and is one of the cheapest benzos, I don't think the price would be a huge difference. I'm cool with paying up to $30 per month...if there really is a noticable difference.Generic is the only kind I've ever used. I've used generics from Mylan, Geneva, and every month for the last several years it's always been from Greenstone. I can't tell any difference other than Mylan refuses follow convention and make 2 mg alprazolam into bars (Mylan insists on a stupid round shape that is hard to break as needed, which is probably why everyone else uses bars that are easily halved or quartered by hand).
As for cost, it's not a "little more" unless you think multiplying cost by about 10 is a little. I doubt you're going to find many who've taken brand name Xanax as it's been generic for I think the last 16 years, so either they took it back in the day or they have money to burn. It's very unlikely that any insurance company is going to pay for a brand when a generic is available.