[Akame]

STR giving just HP is fine.
Maybe STR giving crit 0.5 damage could be fine since GUI mostly scales for daggers.
Not so much for STR giving hit. It would throw off the Hit vs Evade balance even more.
I don't think STR should pierce DR either, STR is far too easy to stack to warrant that kind of change. We have Spatial Spiral(rampaging) for that, anyway.

Overall, I'm mostly for the HP recommendation Spoops brought up again, then secondly Raigen's suggestion if not the first.