It seems like you're anticipating a divergence (or at least communications gap) between the generally-in-office and generally-remote sets of employees.
Have you considered that it might be the remote employees that are more productive?
The benefits you've stated for in-office work are that you will be more likely to hit the gym, get low-cost healthy food, interact with random non-teammates, and meet in-person, none of which are slam-dunks for the company bottom line.
Considering many people are working less hours since there is no monitoring and in general dicking around during the day (I have seen some people playing video games during the work day) I highly doubt in general remoting has increased any productivity.
Have you considered that it might be the remote employees that are more productive?
The benefits you've stated for in-office work are that you will be more likely to hit the gym, get low-cost healthy food, interact with random non-teammates, and meet in-person, none of which are slam-dunks for the company bottom line.