Doesn't the CDC (and many other organizations) recommend getting vaccinated even if you previously had Covid? Immunization from the vaccines are stronger than f

Doesn't the CDC (and many other organizations) recommend getting vaccinated even if you previously had Covid? Immunization from the vaccines are stronger than from natural immunity and the effect against other strains is better known. It's also been known to stop long-term symptoms from people who were still suffering from Covid. A bunch of well known people who have had Covid also later got vaccinated.