I hope I didn't sound too pushy last night, but you were describing the same scenario my H tried to push past me. I worked in Real Estate for 5 years. Nobody closed that fast. And my H kept saying Oh, well we could move it a week, or 2 days, etc. He finally got the message I wasn't going to sign. I reminded him that his first obligation was to this house and family. There was plenty of real estate on the market for later.
It was just what the OW wanted. Now I never hear a word about it.