If not, then is this a well-established feature of respiratory virus infections?
In other words, to what extent is this claim backed by evidence? And is it evidence from studying C19 specifically?
How could you proxy for viral load? And more specifically: How reliable can this measure be?
So short answer: To a degree yes, but unlikely that it is a reliable finding.
Insert super low load, stay home for two weeks, and you have been immunized.
Instead we could grow lots of viral particles. Irradiate them to certain death. Then use it to repeatedly challenge the immune system over a long period. Very expensive and nowhere near as effective or reliable as a proper vaccine, but would induce some level of resistance in a fraction of the population.