Some brands have very fat connectors. I have faced this problem before. For me, if they are pushing against each other and I don’t think they will damage the component, I will use them. Or I get rid of either the component or interconnects.
I used to have some very really good interconnects that I really liked… I actually swapped the box. But most of the time it worked.
Its up to you. Perhaps the screw connectors are interchangeable enough to find thin ones. I had never thought of that. Good idea.