Anecdotally, I made a Neverreap run with my fresh 60 FC tank buddy the other night. I was on my i185 DRG alt. We got matched with a fresh 60 WHM.

We wiped right out the gate in the first room. Note, he's a 60 DRK who switched from a 50 PLD. He did full strength build on his DRK. STR accessories. He knows how to push cooldowns.

We wiped twice before the first boss. His dps didn't matter for shit bc the WHM could not keep him alive for love or Benediction. We had to start doing smaller pulls. I started advising him on how big to pull. He igored me at the "two bees, not four" and we wiped again...not bc of dps but bc healer could not keep him alive.

It was one of the most painful Neverreap runs to date.

Ran it last night w same tank and our regular healer. He even tanked all four bees without dying.

So I would say no, the all-STR build isn't going to work for every party. Just like tanking in general, when to use and not use STR takes flexibility.