While open shift can somewhat accommodate VM workloads, it feels like an afterthought. Really the goal is to charge how your applications are run.

However, VMware presides over staunchly "old fashioned" ships that think in terms of "machines". So ProxMox is a bit more similar.

RedHat did have ovirt which would have been a closer platform, but they ditched that in favor of openstack, which was also VM centered but "cloudy", which also isn't the target model of on premise virtualization (openstack had other problems too), and now it's openshift, which is largely a "kubernetes is a buzz word, let's go, also as an afterthought some VM hosting to give some semblance of continuity for users we yanked through RHEV, openstack, and for now openshift"

It might play a role, but ProxMox may be better situated to be like for like. Microsoft is of course pushing their azure stack for those wiling to get tied up into azure a bit. I suspect openshift will continue to mainly focus on cloud hosted VMs rather than retool they're go to market to better capture those abandoning VMware. After all, since the story is "reduce costs", that's not an appealing scenario to red hat/IBM, since it inherently puts an obvious upper bound on revenue and the customers will be those that demonstrated they are the most ready to migrate when unhappy.