Read your comment again.  Your rumor statement is redundant at best.  You quote the article correctly afterwords, making it clear that the article says natural immunity from prior infection is stronger than vaccine protection against the disease, but that is not what your initial statement says. The "rumor that natural immunity is more effective after you've already been infected."   And they did say that your natural immunity will be stronger after vaccination with first dose, but your immunity is already stronger with prior disease than those with no prior infection but vaccine-induced immunity.