I think most folks, in the Sim, go and shut it down rather than re light because the next sequence is a OEI Go around/landing.
It then sets up the philosophy that it "failed for a reason" so we all start to think that way.
In the real world, Fly the a/c, if vibration is reducing performance, shut it down, otherwise leave it alone until at ACCEL HT/MSA then sort it out, that's my theory anyway.