All the way back to Steve Young... perhaps even before that.
Lot of 'semantics' involved with this question... who qualifies as a 'running QB'? I think there are several right now quite capable of running but have tempered their instincts, at least partially due to coaching, and are now 'wise' about it... at least that. Going down quickly, getting out of bounds. Mahomes, Wilson, BOTH seem to me to go down incredibly quick, and WISELY. Sure, doesn't always work out that way... but then that's true for all QB's 'running QB's' or not.
That said, I agree with everyone that AT THIS TIME Murray is taking too many risks... but no way would I say he absolutely can NOT be coached out of it.