Thanks everyone for looking into this. I had done the video-to-photoshop-to-GIF method but was hoping there was simple thing I was overlooking for GIF export.
I altered the colors in a couple of my test files -- no luck. I even tried changing all colors to web safe colors.
Note to developers: My company produces training videos and is expanding into tablet-based training and digital signage. We use the media we produce for YEARS, over and over again. As we move into new platforms, we're having to guess what the idea final output format is. For years, video and image sequences have been fine for us. Now we're looking at HTML5. Digital signage can display videos, HTML5, or image sequences. HTML5 can use animated GIFs. One third party digital signage company said they can use animated GIFs in their system.
Long story short: I zeroed in on Hype as an ideal tool for us because it can, in theory, output HTML5, video, animated GIFs, and image sequences. Seems to cover all the bases. Something Edge Animate does not do.
So, if you can perfect all these export options, well that would be really cool.
I've had good luck with video export, and Gifrocket seems to work pretty well with those videos.