Welcome to the club. I hate the little devils but still run inners. I find the inner makes for good sport to joust at them with the hive tool when I lift the top cover.
I don't believe it would make a difference one way or the other, if anything I think it helps me to spot them up top where without it they might all be down on the bottom board or in the frames. I don't run spacers or rests but do think they are a hiding place and is just one more reason not to use them.