Just for the hell of it

So let's talk about a hypothetical situation here. Say a baseball team has a closer that can no longer be trusted to hold any lead at all. He gets demoted from the closer's position because he can no longer be trusted. Does it then make sense to bring said reliever into a one run game in the 7th inning with runners on first and second with no outs? Should anyone be surprised when both inherited runners score? Does anyone even care anymore?