To be fair, I suspect you would get at least a few people willing to pay for such a game, especially if it looked at least decent on Steam or in a Kickstarter campaign.
People wanted a new Banjo-Kazooie, we're getting A Hat in Time and Yooka-Laylee (among about 20 others). People wanted a new Mega Man, so there are games like Mighty No 9, Recore and Azure Striker Gunvolt. If there's a style of play that's died down a bit in recent years, it's pretty likely there's an audience.
So yeah, it's probably not hopeless. There likely is at least some semblance of an audience for an old school style FPS game with less cutscenes, maze like levels and a more arcade like feel to it all.