Hmmm.......I was trying to make a joke, but I’d say you’ve brought up a good point. Considering the ratio of total mass vs. the thin layer of atmosphere that has less density I’d say it’s inconsequential.
Thanks for the reply. I was joking, too. Imagining the Sun cooling because of some escaping gas, might be comparable to imagining a 100 car freight train with 5 locomotives giving a little lurch each time it collides with a mosquito.