There have been two NFL players hospitalized with COVID since the start of the pandemic that I could find: Ryquell Armstead and Dakota Dozier. Dozier is vaccinated, Armstead was not (before vaccines were available). Both are still in the league. One other (Tommy Sweeney) had myocarditis and had to sit out last season, but is still in the league. There are about 2000 players in the NFL if you include practice squad players and probably over 3000 if you include street free agents that end up on an NFL roster at some point in the season and guys on IR. That’s a pretty low hospitalization rate (1 in 1500) compared to the general population.