They absolutely are not "as safe", not by a long shot. The Myocarditis risk is unprecedented, as is the risk for GBS, as is the risk for VITT, which is a disease that didn't even exist before. Those are just the side-effects we acknowledge.
Beyond that, the sheer number of adverse event reports for the COVID vaccines dwarf the reports for all other vaccines combined. You can argue that surely most of those reports must be unrelated to vaccination, but that is true for all reports.
Now, before you move the goal post, I'm not saying that these risks outweigh the benefits. That becomes highly subjective and speculative as we move into the younger age brackets. In its approval papers, the FDA itself calculated scenarios in which the risk of vaccination outweighs the benefit for males under 18, we just choose not to pay attention to that.