Ideally yes, you’d want gear that has agi and str, however, I have noticed that int will be greyed out if the class does not need it. So, as long as the item has agi, str with that appropriate stats, you can still wear it.
so in the end the proposed item would have agi the str may be replaced with int which in theory is null and void, it can still be used if its not for raids or dungeons etc