Priors are not used in construction of frequentist approaches, but that does not mean that the analyses aren't isomorphic in theory.

Point distribution <=> point estimate as a sample from an initially flat distribution. A priori vs a posteriori perspectives, which are equivocal if we are to take your description of frequentist statistics into account ;)

It’s not my description of frequentist statistics. It’s the frequentist statisticians’ description. This is from Wasserman’s All of Statistics:

The statistical methods that we have discussed so far are known as frequentist (or classical) methods. The frequentist point of view is based on the following postulates:

F1 […]

F2 Parameters are fixed, unknown constants. Because they are not fluctuating, no useful probability statements can be made about parameters.

F3 […]