SSC-32 working

Do servo motors of any company with R/C interface works with SSC-32 controller?

In addition if it is tested by servo tester of GWS and servo motor works perfectly OK, then does company matters for its working with SSC-32?

Yes any servo should work with the SSC-32.

The requirements are a positive going pulse from 1mS to 2mS on time, spaced 20mS apart. Some servo makers change the order of the power supply lines, but all servos I know about use this same pulse format.