Precisely this. With OSC-52 you don't even need copy/paste keybindings under tmux.

sadly, i haven't been able to get this to work. whenever i turn mouse support on in tmux or in vim, copy-paste stops working completely. it works within tmux, but i can't copy anything from the terminal to other windows. i tried this with gnome terminal and wezterm. i could not find any setting in gnome terminal to change that. (wezterm i still need to check if there is a configurable option to turn this on).

also, very annoyingly, when i select something in tmux, the selection doesn't stay highlighted. i find that a serious issue that makes tmux selection annoying. another problem: clicking on urls to open them, which is a terminal feature, stops working too.