A lot of people get a flu shot every year so on the level of abstraction of "a vaccine" it's not that big of a problem. These vaccines are slightly more side effecty than the average flu shot (flu shots don't usually make you feel as bad for the day or two after the shot) so who knows.
I've never felt weird after a flu shot other than slight pain in my arm. Each shot of moderna knocked me the f out in horrible ways. My pfizerwife was fine.
There's also variation from person to person and season to season in flu vaccine side effects, but the covid vaccine seems to be giving the two-day knockout a little more often. Maybe in 2025 we'll start getting specific figures. There does not seem to be a lot of desire to carefully quantify non life-threatening side effects, which is kind of understandable given the limited resources of regulatory agencies and the incentives of pharmaceuticals, but I would like to live in a scientific world where that kind of data was always collected, if for no other reason than that it would remove the element of trusting the system to act reasonably from medical decisionmaking.