Maybe I'm wrong, but from what I saw of the Disney "full size" crib, it wasn't. The ones from ABBF are bigger. The Disney version looked like one of those in-betweener ones that aren't really used for toddlers - just infants.
That said, I honestly think EITHER would fit in the BWV closet! HEy, if I can sit in there and comfortably stretch out and eat dip and chips, your kid and a crib could surely fit. (And yes, I've actually done that.)
I should also note that I have slept in a closet many a time!

When I came into this world, I was a "surprise" baby with 3 sibs and no room of my own. My Mom didn't want to put me in a room with my noisy siblings, so she made a "crib" of sorts for me in a hall closet ner her room. It was one of those ones with the bi-fold doors, and it was just deep and long enough to accommodate a crib mattress! SHe then had a rail put up, and used the bi-fold doors to hush out the house noise. I'm sure in today's standards it would have failed the safety tests, lol. The washer/ dryer was across from me, the hum put me to sleep, she says.... I finally "came out of the closet" when I was old enough to pull up. My mom said she could only imagine the strange looks on folks' faces when they would call and my older sisters would answer by saying, "Mom can't come to the phone right now - she's putting the baby back in the closet."
If the closet route isn't your style, I also think you could put the baby crib over by the far corner (near the balcony doors) of the master bedroom. There is a chair you could move out of the way(maybe to the big roomy closet, LOL!) and that should afford you the necessary space.