Well ladies (I think all the responders were female!?!), I really appreciate all your input. Although there is a part of me that just wants to leave the doors off, I asked DH to put them back on today. It's not that hard a thing to put them on, or take them off, so now that I've had a few days with the novelty of having them off, I think I will succumb to practicality (dust control, and fading control).
This is the rest of my sewing room. The best part is that we put the hardwood down 30 years ago when we bought the house, in our toddlers' bedrooms, in case they developed allergies. We're still reaping the benefits with next to no upkeep. Swiffers are great for threads, fabric scraps and dust balls!
[ATTACH=CONFIG]102214[/ATTACH]