I have an HP BD-2000 from QVC, and it remembers EVERYTHING. I have literally been watching an episode of Star Trek on on BR, ejected it, watched several episodes of Friends on DVD, turned the power off, watched a rented movie the next day that was scratched up and had to eject and clean several times, put the same Friends disc back in and have it remember right where we left off, put in another disc of Friends and finally put the Trek BR back in and it plays right where I left it.
It must be the players that make the difference. I got really lucky with mine.