I expect this will all settle out in the next few years. Companies that insist that their workers who can work remotely still have to work in the office will be at a hiring disadvantage as they’re rescinding a benefit being made available by other companies. Some proportion of workers will reassess, and might leave for companies that are fine with remote work - even if they are paid somewhat less (remote work vs commuting as one of the benefits, like health insurance). So, effectively, companies that insist on workers being in the office may need to increase one of their other benefits to retain workers.
Given that companies are now seeing how productive remote workers can be, some of them will certainly see the expanding pool of "willing to jump to another employer for the remote-work benefit" potential employees plus the option to reduce their absurdly expensive in-city rents as a major profit opportunity.
I don't see it as quite the time to start looking for a new employer. Wait for employers to start publishing their policies, putting them into effect. After all, what's the best way to get a benefit one employer provides, but yours does not?
I also expect to see some interesting political effects as these mostly suburban or usban workers spread to rural-ish areas ("ish" because broadband isn't everywhere yet) - but that's a different discussion.