Everything works. Somethings work better than others, that's all. I've listened to some stuff I did some twelve years ago when the only condensor mics I owned were Tascam PE-80 small diaphrams. The vocals still sound great to me. Maybe an Elam-251 or a vintage C-12 would've sounded a little better but it still worked.
I tried the NT-3 once, but to me it sounded thin somehow.. It was under pretty bad circumstances tho. I ended up using an NT-1....
These days I prefer to use my Octava MC012 for vox. (NT-1, NT-3 and SM57 being the alternatives). It's not the "larger than life" sound, but it's full and rich.
I've got a 4033 on the way. I was looking for a good vox/amp mic and thought only a large diaphragm would be suitable, but all the rave I've read here about this mic has made me swing from that premise.
About four months back I recorded a series of songs with Oktava MC 012's and used them for vocals. Backing off some in proximity but going direct rather than off axis in angle and using a pop screen the results were really good.