Point of order: The grappling rules might be shorter, but they still suck, and require you to go to a separate rules section to figure out what the grappled condition actually does to a target. The PHB doesn't even give you a page number to go to, just "Appendix A." Best of luck!
And like in essentially every trad game, grappling in 5e doesn't feel like grappling in real life or in other kinds of narratives. You're essentially gluing the target to yourself, so you can walk them around, whereas any actual grapple should end up with both people on the ground within seconds. It's unclear in RAW how you do damage to the target you've grappled, whether they can defend against attacks from you or others, whether at the very least the grappled person's AC is temporarily lower. And worst of all (imo) you only need one free arm to grapple someone, so people are just running around doing one-armed hugs on each other that somehow incapacitate them.
I don't think 5e is uniquely terrible about grappling--basically all trad games turn PCs into combat-optimized Terminators for whom wrassling with a single enemy is usually just taking yourself out of the combat for a while, and not doing enough damage per round (if any damage at all) to justify that. And if you were to try to really carefully model how grappling and close-fighting works, it'd make already cumbersome grappling subsystems even worse. Never mind that most grapples should also probably be part of that other poorly-modeled and basically-never-attempted maneuver of tackling someone (which no PC does in RPGs, but that defines and ends most real-life fights). I think you basically have to step out of trad games for grappling to work, and be as common and attractive as it is in every narrative medium that isn't an RPG.
The one-armed grappling though...yeah that's maybe uniquely silly and deserves to be ridiculed.