> That you are used as the factory for the protein with mRNA doesn't make a big difference IMHO.

I'd beg to differ, or at least make a slight distinction. The mRNA vaccine targets the spike protein specifically, which is the important target in the virus, at least now, but not the only one. The actual virus is more complex than that, and it can mutate. From this POV natural immunity is better. But natural infection obviously comes with the downside of added risks (depending on your immune system) and it's tough to guess how you'll react the first time (although you can make educated guesses) you get infected. Later infections will be milder though. And a clear upside being not having to run for jabs a couple of times per year.