The studio isn't involved in either the decision or the work. You can let Xbox know which games you want added to Backward Compatibility here:
xbox.uservoice.com/forums/29…
There are no current plans to port or remaster the original Saints Row. With the state of the code, it would mean having to recreate a large part of the game from the ground up, and all of our resources are committed towards our next game.
We looked into the possibility of releasing early debug builds back when we were streaming, but there were concerns preventing it. None of the animators on SR3 are still around to definitively answer the female boss speed difference question. Seems unlikely though.
There are no current plans to remaster the older Saints Row games. You can let Xbox know which games you want added to Backward Compatibility here:
xbox.uservoice.com/forums/29…
We are working on something, but don't have any details to share just yet. Regarding your other question about links between RF and SR, these are more easter eggs rather than official canon.