It is still unclear to me if the MwEmbedSupport extension is needed for REL1_31. The instructions here at TimedMediaHandler clearly state it is not needed, the instructions on MwEmbedSupport clearly state that it is needed. I'd really appreciate if somebody could look into this. Thanks.
Topic on Extension talk:TimedMediaHandler
Trying to self answer. It is not needed for a fresh install on MW 1.31 and later.
Perhaps you still need to have it on MW 1.31 to gracefully upgrade and migrate from earlier versions. Cannot tell since I have not used this one before.
It's not needed even for an upgrade
Thanks for clarifying. I removed the contradictory information from the MwEmbedSupport page.