[Closed] Using the same crown race in different brand headsets?

Are all crown races the same, is there any problem swapping a fork from one headset to another brand without changing the crown race? I am trying to get away with one fork and front wheel/brake for two bikes! It is a cane creek crown race in a FSA head set. It all the looks the same and seem to fit fine. Any reason not to ride it?

Cheers