I decided not to get the doors. I do think the latch in mine is fixable. It just doesn't move right now. The doors offered would have been included with some other parts I needed and I wanted to get a feel of what is reasonable. I wouldn't have used the frame anyhow, as mine are in good shape and I wouldn't want to deal with the paint/polish that doesn't match my plane. After some more inquiries, it turns out one of the doors was dented anyhow.
I'll wait until I take my door apart and look at the latch before deciding what to do.