I was in BRU during a ramp workers strike. Everyone had to carry their checked baggage through security, to the gate and practically load it on the plane themselves. It didn't work too well. Most people have a hard time lugging all their stuff around and seem pretty happy to get rid of it at the check-in counter.

Granted a planned system and not a chaotic one people are thrown into due to a strike might work better, but there would certainly be some obstacles to overcome. I almost never check bags and when I'm changing planes there are times I sure wish I had.