Alexandria is already one of the faster/easier one if not the fastest/easiest, personally I don't see why the item sync should be lifted.

If let say the dungeon would go faster if all party members weren't first timers, then when players matching with first timers, they might get unnecessary hates only because they haven't been to the dungeon before, which defeats the part of the purpose of Expert Roulette (also roulettes in general).

As others have mentioned, you do have the freedom to not queue for Expert Roulette in order to avoid Alexandria, and spam the dungeons you want to collect tomestones