It wouldn’t be as much of a problem, but how would they decide who gets what?
Random picking order, Apex style? I guess all the DLC would be up for grabs, good luck ever getting to play Dutch 87 or Dante.
In my opinion, there should just be big enough drawbacks to counter any benefits. There may never be a truly balanced meta, but a weapon like Sawz50 and a specialization like Field Medic are extremely out of balance compared to the other options Fireteam has.