Last I heard, we still don’t even know how much or what kind of protection an active immune response would afford against COVID-19, or for how long. But I fully agree that a cold would be an acceptable cost for protection against community spread if it turns out to work that way.
My understanding is that a lot of coronaviri just cause “the common cold”.
I’d happily take a few weeks of cold symptoms if there was a 10% chance it might confer some protection. Probably even a 1% chance.
A little bit of previous discussion here mentions the possibility of immune enhanced infections..