I've got a Frankenbike that I use on my indoor trainer but it is also my Plan C or guest bike.

My question is: I'm using the skewer that came with my CycleOps trainer. If I want to take the bike off the trainer to ride it on the street, do I have to switch back to my original skewer, or can I just leave the trainer's skewer in?

The trainer's skewer looks just like a generic entry level skewer, but is there some reason I should not use it off the trainer?