Well yes, grappling is typically played the same way, however while in 4e the Fighter class was in the Defender Roll the Grappler sublass fighting feature made them more of a single target controller.
I played it more like a WoW Rogue but instead of "Stunlocking" I grappled them to the ground them beat them to death quickly while my allies helped. So it was more of a...brawler/bruiser than a true tank.
Basically locking down the biggest threat on the battlefield then punishing them with heavy damage and reducing their options until they deal with you. I tend to like more aggressive characters than stacking on a thousand defenses: I don't like playing with shields, or buff spells, I prefer full on offensive characters. Probably because my AD&D human barbarian couldn't do much more than sword spam auto-attack and I enjoy that playstyle.
So an offensive grappler that can disable a foes ability to move or do much and pour in the damage is more my preference but if it's not a very good character or build then I won't bother. I don't want to be a weak link gimp member that can't bring anything to the group