I mean, wasn't this the case with PnP or even classic IE? A dagger did 1d4 and you didn't get to go any more often than someone wielding a 2d4 bastard sword. I'm not saying that this was a good thing (I only understood it as a role-playing choice in BG/BG2 to be deliberately suboptimal), but how do newer TB or editions of D&D handle this?
Yup, in the original D+D etc this was the case... bigger weapons were simply better than small/fast weapons... the compensation was class weapon limits. So Fighter could use swords (1d8), Cleric could use maces(1d6), mages could use daggers (1d4) etc.
As explained above, the newer round based pen and paper system were more nuanced, using weapon proficiencies etc to balance rather than classes... but still basically limiting access to the 'good' weapons.
In the RTwP game the basic balancing act was speed vs damage (which better than any round based system imo), which didn't require a hard limit on weapons... but that is pretty much broken under a round based approach.