In fact the opposite is true. The ideal room would "leak" all the bass out through flimsy walls, and then the bass response inside the room would be perfectly flat. You wouldn't have any response peaks or "room gain," but you wouldn't have any nulls either. So it would be flat, just like outdoors. I often joke that the ideal room would have walls made of cardboard. Note the key is nulls, which like peaks are caused by reflections off the walls, floor, and ceiling. When a room lacks bass, the cause is nulls. Look at this response, which is typical:
The biggest problem is clearly the nulls, where much of the energy is reduced by a staggering 20 dB.
This is the cause of weak bass.
As for bass traps, in a room with completely flimsy walls bass traps aren't needed. But by flimsy I mean cardboard, not thin sheet rock or thin plywood.
--Ethan