The time it's most likely to cause a problem for my husband and me, both being avoidant, is when there is a disagreement between us. I want to go ahead and get the issue addressed and worked through, but conflict-avoidance is a big part of him. So to him, I'm harping. And to me, he's just ignoring me. That can cause more conflict, and it feeds on itself. We have had to learn to work around each other's quirks here.