They claim they are going to fork ETH to make a POS fork of it. Now the people claiming this are going to want you to believe that’s the “real” eth- but the miners may not agree. They have no incentive to do so.
And yes, they can absolutely keep running the real chain and let the chips fall where they may. Given that course of action benefits them, and the other benefits Vitalik and his whale friends...
It doesn't matter what the miners believe, if the exchanges, applications, and users have moved to the PoS chain. Which is very likely to happen, given the community support for PoS, the scaling coming on that side at around the same time, and the fact that exchanges are already letting users earn returns by staking ETH, while the exchanges take a percentage of profits.
Vitalik et all have been talking about pos for years. Meanwhile a huge portion of the cryptocurrency space went there already (years ago) and left eth behind. POS isn't some new technology.
The miners can keep running the legacy version, and try to convince users and exchanges to stick with it. Given the massive community support for PoS, they're not likely to be very successful.