I think fixating on the limits of vaccination rather then the benefits is misleading. Vaccination works, yet many people think it does not due to this rhetoric.
"Vaccines work" (or the constantly repeated "these vaccines are safe and (remarkably/fantastically/stupendously) effective) isn't trying to educate you on the vaccines so you can make the right decision on your own, it's meant to get you to take the vaccine. They're stronger statements than are justified, and they make people suspicious as a result.
Some people are going to read " vaccinations work" as "you take this vaccine and you can't get covid, can't spread covid", which is not even close to accurate. We're all better off (IMO) being honest and humble and careful with our language, so we don't get caught overplaying our case and further galvanizing people.