Now that is a valid point.
I feel like it being on a handheld has some part in that though. I know a lot of people who abhor anime and JRPGs, but who are quite happy to dedicate tens of hours to Pokemon.
I think that's a similar situation to Final Fantasy. They most likely grew up with the franchise, and back on older consoles and handhelds, those didn't exactly look "anime" because everything was pretty crappy graphics. They also didn't really care because they were kids.
Persona definitely doesn't really have the legacy to boost it in that regard, but a lot of what's going to make it appealing is its quality. (assuming it IS quality in the first place)
What also helps is localization: When Giant Bomb decided to do an Endurance run of Persona 4, they did so thinking they'd just be making fun of this super weird Japanese JRPG thing about school life, but ended up getting pretty enthralled with the characters and the writing. A big hand goes out to the localization team on that one, and I hope they bring their A game again with P5.