I'm going to try and say this calmly without raising my voice:
WHAT THE F...
Sorry, I shouted at several preceding posts.
If you can't hear bass in a small room - and trying to is such a fool's errand that you have to buy shitty speakers that don't have bass - why can you hear the bass in a room the size of your ear canal (aka "headphones")? Answer: you'll probably hear bass better if you trap it, but it's not like it totally vanishes because the room is too small.
I say you're just adding another problem: shitty speakers with no bass!
Now, obviously UREI 813s - soffit-mounted big main speakers found in every commercial studio in the '80s - wouldn't be the first choice for a tiny room, because they're intended to be heard from a distance. But little speakers with some bass, or with a subwoofer, are fine in a closet.
So you're saying the drier/smaller the room, the better?
Nonstarter. No, not at all. No. No.
Enjoy your new speakers and please stop worrying about this.
But an untreated room is a dishonest room.
I say a room with unspecified "room treatment" products nailed to your walls for no good reason other than that you think one should have them... is a sure sign that you had too much money.
Look. If your room has problems, of course you want to deal with them. But just saying "room treatment"... well, what are you treating?
As I said, it's much easier to screw up a perfectly good room's response with bullshit all over the walls than it is to make a room workable. And it's not all that difficult to make a room workable.