Eventually, after everyone has had the opportunity to get both shots, that is what it is going to come to.
We are not there yet ... but it is in the foreseeable future.
There is a fair argument that the USA is already there (although largely due to hesitancy/denial).
With the Delta (formerly B.1.617.2) variant being supposedly ~6% of cases in the USA (about 25% here, about 60% in UK) ... and with that being +/- 50% more infectious ... it is going to be interesting to see what happens.
US vaccination numbers are still creeping up ... painfully slowly, but every bit helps. Maybe they'll have enough coverage in a couple of months when this strain becomes dominant for it to not matter. Could happen.
It's still going to be a disease predominantly of the unvaccinated.