AFAIK yes, str makes you hit harder, but not affects your power pool. STR determines the power pool of pure melee classes if im not wrong.
The main stat regarding power pool for a troub is agility and intelligence is the secondary atribute. With the LU19 the increase in power from secondary atributes has been changed and raised, so i think is a nice approach to focus in intelligence, since most of our dmg come from others and CAs, wich are mainly focused in intelligence. Im not saying to forget about str, but trying to keep leveled agi, int and str.