I am surprised that a cat who climbs up quilts on an ironing board is still alive!! Sounds quite dangerous to the cat.
I used to do hand quilting for a lovely lady with a quilt business. As she got older she had her daughter make the tops. She sent me one, all basted, full size. I was about half way through quilting it when I got to one part that was way off. Think, 9 patch blocks interspersed with plain blocks, well, one of the 9 patch blocks was clearly smaller than the rest of them, with resulting pulling and distortion of the rest of the area.
I didn't want to "drop a dime" on her daughter, so to speak, but in the end I called her and told her about it. She said to go ahead and quilt it.
I knew it was a special order and could only imagine the customer seeing it. Glad I wasn't there.
ETA - I have always been worried about putting a quilt together with backing wrong side out, although I have never done it. Still, I check it a few times.