I’m going to pushback just a little.
There is a difference between a running QB and a QB who can run. The Russell Wilson’s, Steve Young’s, Donovan McNabb’s of the world are qb’s who prefer to throw the ball, but take off when lanes open. They may even do the occasional qb designed run, but their sprinting ability is a tool and not the main feature.
The Kaep’s, Jackson’s, Vick’s and Tebow’s are wired to run first and throw as a back up option. Their default set is to take off and not sit in a pocket. Those types of players do risk injury at a higher rate.
Though Vick had a long career, he spent a good portion of it being mediocre as well because once defenses could neutralize him, his inaccuracy doomed his game. It’s the same with Kaep. And likely will be the same with Jackson if he doesn’t learn to throw with more accuracy.