My girls just ended up sleeping better as they grew, especially once their toddler molars finished cramming their way through their gums, at about 2.5yo. Then another big leap after they didn't need to pee at night so much, around 4-5, depending on whether it was dd1 or dd2.
So, not the experience you were asking for, but in a different direction: they did start sleeping better, even though they were never moved out. Maybe moving out might help her sleep better, I'm not trying to discourage you from trying that, but mainly I'm saying that that a lot has to age and the particular child.
While sleep deprivation is a powerful motivator, 9mo can still be pretty young for sleeping solidly and soundly for large chunks of time.
Anyway, maybe someone else will chime in that has more experience in the other direction.