Ooof... don't know what you used to record that but install
OBS Studio and use that to record, that should produce better movies, that was quite difficult to figure out what was going on.
As for the product... Hmm, if it works in Create Mode but not in Shop it might be worth
clearing out IMVU cache as sometimes updates don't propagate to the store version instantly and/or it may take some time to filter through IMVU's system.
Aside from that, in Blender make sure to be creating the Shape Key animation in the
Action Editor rather than the Timeline and you're disabling the correct options on export in the
Animations tab. Everything else looks fines otherwise so far as I can tell - see here for reference (
check the timestamp titled "Shape Key animation")
https://www.katsbits.com/smforum/index.php?topic=1011.msg4878#msg4878
