The GPS part of the Pokemon Go isn't unique or original. People have been trying to make these kind of Map / GPS games since we had GPS available on mobile phone.
I can remember playing one called Triangles on my Sony Erricson back in 2005. The thing is that other than Ingress none of them have really taken off.
If you did a Google search for GPS games before Pokemon Go was released you would have found dozens of results (Its a bit tricky now since searching for anything to do with GPS and games will just return Pokemon Go stuff now).
In answer to your question No I don't think a large number of people would be interested in a similar game without Pokemon branding.
Ingress was OK but, at the time it was popular it was because it was owned by Google and they were pushing it onto anyone with an Android handset or a Google+ account.
Pokemon Go has done well but only because of Pokemon. They could of released a Flappy Pikachu game and it would still have done well.