After SWIFT's training?

I do have a concern about SWIFT's problem with students waiting for mentors. If I understand correctly, I can pay for Swifts training, get my cdl and then work for someone else? This would not be my preference for first option, but if after training and getting my cdl, I don't want to have to wait a month before getting a SWIFT mentor. One concern I have would be whether another company would accept SWIFT's cdl training.