Use what works for you.
My few cents:
Pretty much every ergonomist will tell you that mouse use causes more ergonomic pains than keyboard use. They literally tell you to memorize as many keyboard shortcuts as possible.
> but clicking to jump to a position on screen can often be a lot faster than I search
It can be, but is it the norm? I have a distinct memory - over 15 years ago - of reading a blog post that recommended isearch to move the cursor and realizing how right it was. I suppose not everyone agrees.
> say nothing about how much gentler on the wrist it is
A bad mouse is as bad as bad posture on the keyboard. You only realize this once you're in pain. Not everyone reaches the point of pain.
> say nothing about how much gentler on the wrist it is
You should not be moving your wrist! Move your whole arm. Once again, one realizes this only when you're in pain. Not everyone reaches the point of pain.
> Then you can customize the menus and toolbar icons so you can be 1-2 clicks away from something that would otherwise require a chorded keypress or worse, an M-x command.
The same argument works for keyboard. If you're going the route of customizing the menu for particular commands, you can also customize the keyboard to minimize the keystrokes for those commands (e.g. via hydra).