I hold Control and double-tap b for managing the remote session, then everything else is the same.
Granted, I'm not a power user, so there may be numbers that get frustrating. I could imagine complex splits getting confusing (I don't use splits at all).
On reboot it remembers my tabs and panels and even commands that ran inside last (i.e there is popup in every panel that had something runing to run it again or just open a terminal)
Before my great wayland migration I ran patched st and it was great. Terminal job is render what terminal multi-plexer gives it and passes input to multiplexer.