What offensively separates grapplers from other characters with command grabs?

I often see people make a distinction between grapplers and "brawlers", an archetype that typically has command grabs but isn't centered around them. My kneejerk answer to the title question would be that grapplers stay in throw range for as long as possible (or they just outright vortex you) instead of using dash up throws, but Potemkin from classic Guilty Gear (not Strive, where Garuda Impact gives him very effective 50/50s) is less about that and more about HFBing up to you before he grabs you, which doesn't sound that different from Sol's dash up Wild Throw.