GTA V is so much better with the mini-map and the rest of the HUD turned off.
The game world is presented without distraction and you can really appreciate it more. Shootouts are much more fun and challenging, too (combined with manual free aim). Driving is much prettier, too, but sometimes certain missions or events are near impossible without the mini-map because of how despawning, police LOS, etc work. But in general, I try to play as exclusively as possible with the HUD and mini-map turned off.
MMOs are another interesting one here... it's near impossible to turn off the all the HUD but in some MMOs I've created customized HUDs where basically just a few very basic things like target select, HP or ability bars, etc show, and as small as possible. GTA also has the 'Blip' feature for the mini-map which makes it a little more immersive.
Which actually makes me wonder why more games, especially open world games, MMOs and RPGs, more racers (most at least let you turn on/off each piece of the HUD so they're pretty good at this), etc don't offer an 'Immersive Mode' for their HUD. I would love a GTA V map where only mission waypoints show, no store or building icons, and just very small HP bars, or more RPGs over the ability to turn off most of the HUD or at least have a small/immersive version of certain bars, windows, etc that perhaps fade or disappear when not in use.