Compared with the flu, COVID-19 vaccination hesitancy is a phenomenon of those under 50 years of age, not over.
Average % vaccinated for flu 2010-20 vs. for C19 through May 22, both per CDC:
18-49: 32.25% flu vs. 25.5% C19
50-64: 45% vs. 44.5%
65 years and up: 65.6% vs. 69.3%.