From what I've read the framed windows were originally plate glass and the non-framed windows were tempered. If you check the catalogs that sell side glass, they appear to be the same size glass with or without the frame, so the frame should fit the non-framed glass.
The problem would be if you want to use a framed window in a non-framed door, or the other way around. The window channels in the door need to match the type of window being used. The nice part about the framed windows (being plate glass), is you can always go to a local glass shop and have a new window cut. I've done this several times in the past and was really inexpensive.