I get what you're saying, and it makes sense, but people also often say "shots" when referring to childhood vaccines (ex: "did they get their shots yet?") They also say things like "rabies shots" and "diptet shot."

And coronavirus is also understood to be seasonal.

However, in spite of all that, I agree that the official messaging throughout this pandemic has been so inconsistent - from masking to "two weeks to flatten the curve" to "boosters" - that the public does have a right to be skeptical and exhausted.