I am pretty sure there wouldn't be a 10.1 and HTML5 plug-ins today if it wasn't for Apple.
10.1 has been in the works for a long time, long before Steve's anti-Flash campaign started. Adobe must've forgotten to run the "10.1" designation by the marketing department, because it fails to communicate that this is the biggest overhaul Flash has seen in many years, possibly ever.
The mission was to get memory and CPU usage down while at the same time introducing hardware acceleration, so that Flash would run more efficiently on computers but also with a small enough footprint to run on mobile devices like smartphones, tablets, netbooks.
If Apple had any influence, active or passive, on the overhaul of the Flash Player, it was the fact that the original iPhone was a game changer for web surfing on smartphones.
Browsing on smartphones, prior to iPhone, was at best on proof-of-concept level, at worst a complete joke. When the iPhone changed the rules, Adobe thought "yeah, this is a direction we should explore". Initially, both Apple and Adobe stated that they were working together to bring Flash to the iPhone in some way or other. Adobe continued to work on bringing Flash to the iPhone in different ways, both with the Flash-to-iPhone app builder and a Flash plugin of some kind. Apple, at the last minute, blocked this by disallowing apps built in Flash (while also making clear there would never be browser support for Flash in iPhone OS). Fine, said Adobe and continued working on bringing Flash to other mobile platforms later this year.
So it would seem that Apple's contribution to the evolution of Flash ended up being somewhat ironic: First they inspired Adobe to put a rush on bringing Flash to smartphones, and now it's coming to all smartphones except Apple's own.