As the immunity after a mild SARS-CoV-2 infection can last 5-7 months (1), such people may be protected from reinfection during this period. However, I know some of the doctors having had a COVID-19 infection, got COVID-19 vaccine shot without ill effects.
Being Asymptomatic sufferers from Covid-19, does not mean they don't carry the virus. They can carry the virus but show no symptoms. You only know they are carriers when you test them for Covid-19.
As such, when you vaccinate them, it helps to confer lasting immunity on them, beyond natural immunity they acquired from the infection that helped them stay symptomless- due to asymptomatic Covidi status. They can be easy and un-noticed transmitters of infection to non-infected ones.
Thus, the vaccines helps to mop up
viral infection, which includes deactivation of the virus in the body, albeit lowering and clearing off viraemia or viral parasitic load, whiich some asymptomatic status may not clear out of the body.
I don't think that asymptomatics in Covid-19 implies they have immune deficiency or abnormality that requires clinical treatment with injected Covid19 vaccine.
So in this sense, vaccination does support immune system with boosts, and confers pro-phylactic preventive protection against future challenege with infection which is essence of vaccination.