Sealed or not should not make much difference other than noise contamination if applicable. The difference in bass response between with the door wide opened and totally shut (again, sealed or with small air gaps) could be quite significant.
We seem to be in agreement on that.
My comment was focused specifically on the quest to create an "airtight" room.
OP responded well in that he is learning REW and working with it to improve his overall situation.
@Jeff5347, kudos to taking those steps!
My first recommendation is about your subs: plan on upgrading all subs to match your VTF3s. The VTF1s are by all accounts good, but they will limit your overall experience. Getting all subs matched will allow for easier and better integration as a whole. As you are already using REW, the next logical step is also employing a MiniDSP 2x4HD to fully dial in all 3 Subs.
You did not go into placement, and this concerns me a little. I am known to not agree with placing subs on the front wall and corner loading. I think these
CAN be some of the worst locations. I've had great success placing my subs using the Subwoofer Crawl, alone. Each one is on a side wall, and neither is the same distance from either front speaker. Asymmetrical placement can be a much more powerful tool than any other approach, and this can be furthered by using REW to confirm and adjust, then use DSP to tailor the results even further.
To your question on Panels and Traps. Be careful. Improper use of such things will only be a waste of time and energy and may just as easily hurt your room rather than help. First, make certain your room is well appointed with comfy furnishings and some assorted KnickKnacks. Diffraction is your friend. Assuming you are already carpeted, that shouldn't be an issue.
I have most commonly seen bass traps employed on the front wall and in corners. I do not think your cubby will do anything. If you are truly experiencing excess bass energy, then I would first look at sub placement. Next, Gain and Level Settings. Then, and only then, would I consider trapping the room to minimize that energy. If you do need to go to that extent, consider that the cylinder traps are usually about 18" dia. to be effective. Also, the angled panels that go in the corners... again, these are usually 2'wide panels that eat up the corners of your room. anything smaller is, as I understand it, pointless.
I further applaud your willingness to build your own acoustic panels. Again, consider the goal and how you choose to employ them. Absorption alone can lead to an overly dead room. Perhaps consider a combo approach of Absorption/Diffraction on the front wall behind the speakers (unless slap echo is very prominent, and then tailor your FRP panels to meet the frequencies you need to attenuate, while being mindful that perhaps a diffraction/absorption approach may be suitable there as well.
Use your REW measurements to your advantage as you begin down this path, and reinforce your knowledge with a good acoustics handbook, as well!