My daughter slept in a pack n play bassinet. I thing the concern is for when they start to roll over.
We too have gotten rid of alot of our stuff and I intend on using the pack and play with bassinet in our room for him.
It is fine to let them sleep in the playpin with the bassanet! I am doing the same thing! But my daughter is 9 so we had nothing. Everything we have was given to us. We also have a crib in his room but I have to have a cs and can not later in bed after so for a bit me and my baby will be in the recliner. Then he will be in the playpin/bassenett in our room!
Both of my kids have slept in the pack n plays w the bassinet in them and i will do the same with this one. It's ok until they are able to sit up. Good luck.