Like Str running shotguns, just with much lower damage and more bouncing off of the ceilings due to parkour being full power at all times?
If he uses light armor or has read the absolutely OP book in the urban series, yes. But STR was always easy mode, I don't expect this to ever change.
I love parkour, even with the detriment of having to be careful with some jumps. I don't want an extra key for it.