It's actually a really balanced unit. It does do a ton of suppression, but that's basically it (except AP vs. LVs) - and it needs to do that suppression since Grens are basically worthless at close range. It terms DPS, especially against units in green cover or garrisons is basically non-existent. There's a reason it hasn't been adjusted in years (march 2017 was the last change).
Grens are probably the most underestimated and underrated unit in the game. They are very good especially for something that's only 240 MP and 60 munitions for the LMG42 plus no side techs required for weapon upgrades or abilities. The only thing required with Vet is healing but that's a redundant ability anyway.
But to answer your question on close range stuff you get Assault Grens with several doctrines plus flamethrower pioneers and Panzergrens without a doctrine. So close range stuff is better than what's available to anyone else.