My guess is that established companies (esp. those with existing offices) will require on-site work, new companies without will more likely not... more flexibility for founders and reduced costs if they believe in remote.
That should leave everyone with plenty of options, but on-site + startup combo would have fewer positions and vice-versa remote + established company.
Otoh, over time I could see a profound shift to remote if these new companies were to start replacing old ones and remote worked for them. But there might be a limit where a certain company size favors on-site.