Self-control also seems to replenish by things such as "watching a favorite television program, affirming some core value, or even praying", which would seem to conflict with the hypothesis inherent resource limitations. The resource-based model also seems evolutionarily implausible.

I think that depends on the resource. If the resource is something like entropy, then doing an activity like watching a favorite television program or praying makes sense to provide the brain and body time for deframentation.