@ Antares,
LOL. Thumb dexterity... Before I ramble, my thumb control is keen. 98 - 99% in the Mario Party crayon trace game.

The same is true for a few of my friends, so I don't always win.

But when using the Wiimote in MP8's trace the shape game, I always win... >=) I'll always use a mouse over a thumb-stick for pointing games, because that's what it was designed to do.
You have it backwards. It requires most of the arm and hand's dexterity to use a mouse, not just the thumb. This is why it's more difficult for some. The mouse also doesn't re-center the screen when you let go, which a joystick does, so this makes it more difficult for new comers.
And clumsy, you're just unskilled.

Nothing clumsy about a superior pointing device that can create circular shapes with a fast movement. Clumsy is a thumb-stick, which creates polygonal shapes on a fast movement.
Look at it this way. When drawing or writing, it takes a combination of the thumb and index finger for precise control in tight spots and the arm and wrist for broader movements. All of these areas have to work in unison. You don't get this with just a thumb-stick. It's only your thumb, the rest of your arm and hand can't help out.
The mouse is also on a X Y plane, where as any quadrant can provide a varying level of control and speed. A thumb-stick is on a pivot. Tilting further away from the center lessens accuracy while increasing speed, which is a flaw in its design -- that right there is clumsy.
If thumb-aiming were the ideal way to move a cursor, so point(well push), it would be on all computers. it really didn't take long for a mouse to replace the joystick for cursor controls back in the eighties. The mouse is not easier to use, it's just better at what it does.
Games that require pointing that are designed around a thumb-stick are always compromised, dumbed-down, streamlined, made more causal... They always implement crutches like "aiming-assist," or even worse, absolute cheese like bullet-time and now stasis. These things are here, because a thumb-stick is an inferior pointing device. They lesson a game's difficulty and we end up with overly easy games, which for me can kill the fun -- I like games that challenge me.
I find it kind of ironic that most of the games you listed, are either played better with a joystick, or don't even support a mouse, so have built in aim-assist. I'm surprised you didn't list Dark Forces.
Anyways...