A long bow (1d8, 150/600 range), and a short bow (1d6, 80/320 range) benefit from "Extra Attack".
A light crossbow (1d8, 80/320 range), or a hand crossbow (1d6, 30/120 range), do not benefit from "Extra Attack".
A light crossbow is worse in terms of range, and damage (with Extra Attack) than the long bow. A light crossbow is on par for range with the shortbow, and worse for damage (with Extra Attack).
I understand that with Crossbow Expert Feat, you can make 3 attacks with hand crossbows at still a very short range of 30 feet.
Mechanically, I don’t see any benefit to a light crossbow if you have an Extra Attack. Is there some benefit to using a light crossbow I am missing?