While I can't say this is true for vim, in Emacs, I found that the customizability helps for a lot of different programing tasks. I run my terminals in Emacs and they are associated with my projects. Magit (the Emacs git package) helps me do complex rebases with diffs alongside creating branches and everything else you might do in git (even the reflog when things get rough). There is event a handy rest-mode that lets me write and save HTTP sessions. I connect to my database in buffer as well. What makes all this so handy is that I can move the buffers around to compare things side-by-side, use a single large buffer, etc. While VS Code has splits and terminals, I found that in Emacs I can access everything from my keyboard and now that I've gotten used it, I don't even think about it.

I've heard that a lot of vim folks get similar behavior via tmux and leverage other shell tools.

I'm not going to argue you should switch, because it is an investment. It is like owning a house, you have autonomy but you're also on the hook to fix the air conditioner. You also can't just drop it and move to the next editor. Your hands and workflows become tied to your editor. Keybindings may be similar, but it is not the full story. Either way, it is a journey getting good with your tools, so enjoy it!