i record off axis all the time.
i use it as a means to EQ certain tracks.
That is actually a popular technique for the Neumann KM130 diffuse field omni. It is an excellent all-rounder for orchestra and piano recordings. Unfortunately, in close proximity, the mic can be extremely bright. The solution is to point the microphone straight up in an AB pattern rather than at the instrument. The frequency response is more or less flat from that angle.
When I record an orchestra, I will frequently point the main array on a plane with the woodwinds in the center. It is a good way to zoom in on the sections without the need for spot mics.