Clicking with the mouse is the slow inefficient way of playing, use the keyboard & only use the mouse for moving over joints & swinging the camera.
If you use ZXC for joint control then you've got the shift key right next to you, you can either hold the right mouse button to swing the camera (holding shift + right mouse will allows for raising/lowering) or use WASD to move it.
TBH I have no idea why the tutorial was changed to mouse control instead of keyboard, just creates bad habits.
So yeah, ditch the slow ass mouse play & use keyboard for doing most it. Hell you wouldn't play a RTS using only the mouse... Well you wouldn't if you didn't want to suck. ;)
It's much like any game, practice makes perfect. OFC having a good mouse is always better for accuracy.
Using both hands is still the more efficient way to play, when you click or scroll it's likely that the mouse will move (or think that it's been moved) making it hit the wrong joint; whereas that isn't the case with using keys. It's also a more "natural" way to get to movements quicker. Sorta like FPS games, WASD for movement, use your little-finger for shift, thumb for space (if you do speed turns) and you can easily get to the ZXC keys since they're also within finger range.
It honestly is the best arrangement for playing TB. Sure mouse is doable, and some people do play like that. But if you've ever seen someone who does all their turns in a couple of seconds & hits space - they're playing keyboard.
One you get the hang of it you'll see what I mean, and instead of yelling about controls you'll be yelling at people for taking too long ending their turn. ;)
A great example of why other control methods aren't as good is TB Wii. It's playable, but moving through the joints takes longer, can be harder to get to where you want & makes you wish you could just use the Wii Remote as a pointer instead.
Hell you wouldn't play a RTS using only the mouse... Well you wouldn't if you didn't want to suck. ;)