I agree with you, Bingowings, about the most important issues in AOTC. I appreciate you keeping your eye on the ball, so to speak. But that does not reduce my annoyance with the storytelling on this particular point--
The "problem" with Yoda showing up with the Clones is not so much a logical one-- all sorts of excuses for it can be invented (as you show).
But, as with so many things in that movie, there is more dramatic fisting going on than dramatic flow.
It's one thing to have the Clones show up in the nick of time to save Obi Wan-- but to go on and wage a full-on assault on the droid armies was a whole 'nother thing.
If the Clones were to wage a giant battle with the droids-- it would've been nice to see the Jedi had more time than the movie allows for setting it up. It stretches credibility to have Yoda go from brooding on Coruscant about not knowing there was a Clone army to suddenly zooming off to Kamino (off-screen) grabbing the Clones, and showing up on Geonosis with them ready to duke it out. It's "possible", but it isn't elegant.
I never allowed myself to really name the "problem" before, though-- because it never occurred to me there was a prayer of fixing it.
That's what makes this approach so interesting to me.