So your issue is the content, not the platform.
My last experience with Flash on Linux was on my Dell laptop. It was a Core 2 Duo, 1.83 I think. Ran fine there too, even running Youtube videos in Firefox. This was on Ubuntu 8.04 (I switched to my Macbook a month after 8.10 got released).
People going : "Flash makes my computer overheat and crash!" seem to be exaggerating a bit... My fans come on just playing Sims 2 on the Macbook, I don't go around screaming that OpenGL sucks!
Seriously, all this anti-Flash propaganda needs to stop. It's seriously looking retarded to people who are sitting there wasting time watching Flash movies and playing Flash games and thinking : "what the hell is wrong with my computer, it's not overheating or crashing doing all this...".
And this has what to do exactly with iTunes conformance to Windows look and feel guidelines ? This has what to do with iTunes performance on Windows ? Try not to be a zealot here (you usually aren't). Apple doesn't care about the look and feel of their flagship software on it's most popular platform, I'm supposed to think they care about look and feel of some 3rd party apps on the iPhone ? Please.
Again you say this, yet I'm on Youtube, using the flash player right now and It's not bringing anything to a screeching halt. It didn't back in Linux 2 years ago, or the other few years before that since Youtube began streaming videos...
Seriously, are you sure your mini is not equipped with Intel's latest 386 SX chip or something ?