Yes, there can be problems.
I have a larger room, but have 17 bass traps ranging from 4-6" of OC 703 in the corners, first reflection areas, ceiling, side and back wall. I did a Room EQ Wizard analysis at the mix position and I have a generally flat bass response from 20-300 Hz at the mix position and not terrible decay.
Still, when I have started to record acoustic guitars I still have a "tubby" sound, that I believe is from the still existing reverb in the room.
So, I am looking to create a recording space within my room that takes even more of the room out. Here's a post
describing what I'm looking at.