Sure you need some STR but if you're playing a mage, keep maxing out that Mana pool at the expense of everything else!
A mage with 1 STR and 18 INT may work when trying to beat a game, but in real life he or she would live a miserable existence: https://www.dmingwithcharisma.com/2011/10/dd-stats-in-simple...
(Good dungeon masters keep the above rubric in mind when running their games, btw, so as to discourage "gaming" the system.)
Because you need enough "social" to be part of a team in the first place.
Otherwise they are a bunch of dissociated loners not playing the same game. Which could be an interesting novel to read if done well, but not your usual D&D session.