A screencast is closer to a slideshow than a video. When only 1-5 frames per second are needed, Animated GIF doesn't use much bandwidth. It works in every browser and on very light CPUs.

"the gif people tried suing everyone once"

You mean Unisys, 'the LZW people'. CompuServe were 'the gif people', who didn't try to sue anyone. Anyways, the LZW patents expired in 2004, so that's no reason to avoid Animated GIFs now.

"Don't let Steve Jobs' rivalry with Adobe make you fall in love with sub-par formats. He's glad you uncritically parrot his thinking, but its really not doing anything for you."

Thanks for the ad hominem, but I didn't need Steve Jobs to tell me Flash has problems. As a smartphone user, I had already figured that out on my own. However, Adobe can easily win the argument. All they have to do is make Flash safe and stable, and create a fast and power efficient player for mobile devices. I'm just not going to hold my breath.

Having said that, the OP could've used far fewer frames, and instead of Animated GIF he could've used a series of JPEGs animated with JavaScript.