No, RDR2 gameplay is utter shit. It is NOT shooting the shit cowboy-style.
Compare RDR2 gameplay (once you get past the purdy graphics and the beautiful horse shitting animations) to good Western movies. There is literally almost nothing in common.
Western movies (or books for that matter) consist of intense scenes, where protagonists have to shoot down their opponents very quickly, under intense pressure, or have interesting long range shootouts, using cover, initiative, sneaking around, etc. Quick-draw duels (a Hollywood/circus invention, I know, but still, this is the genre), people waiting in ambush, that sort of thing.
RDR2 combat gameplay, on the other hand, consists of various kinds of cheese modes none of which present any of this intensity or sense of satisfaction, or feeling of skill. See below for details:
1. Long/medium range shooting: you get Arthur behind cover of some sort, and do some popamole shooting, where you pop out from behind cover, take a few easy pot shots using the reticle, and can take out entire armies this way over time. This approach is very crappy because
a. Arthur has way too much health, so even if he does get dinged, it doesn't matter.
b. The cover system is unrealistic, as it's binary, you are either behind cover or not, the shape or actual coverage of cover doesn't matter, you will be pretty safe behind it, whereas in real life, hiding behind a tree with half your body visible would get you killed in quick order.
c. Enemy AI will not try to charge you, or flank you or anything interesting, they will just pop up the same way behind their cover, except their aim really sucks.
d. You can enable Dead-Eye mode for extra cheese, and kill already easy to kill enemies in slo-mo.
2. Short range shooting: There are no good organic quick-draw mechanics, for example, you can just draw your revolver normally but it takes something like 2-3 keys, and is kinda contextual, so in some circumstances you have to use different keys, or wait for a second or so or it won't work properly. There is another way to draw it quicker, where you "quick-draw" it and start shooting right away from the hip, but there is no initial reticle for that, so the first shot or two are blind essentially (unless you have a physical reticle marker on your screen like some of those youtubers who make those quick draw videos). As if that wasn't bad enough, enemies have ridiculous torso health, so you can empty an entire cylinder into them, and they will still live routinely, as the game seems to expect you to use headshots exclusively. Since making blind headshots is not a thing, the quick-draw mode is kinda useless without intensive modding.
Theoretically, you should be able to do regular draw headshots, but the problem here is enemies are programmed to duck and weave and move constantly, and wear hats and all that kind of shit, which makes nailing headshots consistently rather challenging. Which was probably implemented so you could do approach 3.
3. Dead-eye quickdraw: with this, you can hold down a couple of keys, and Arthur will quick draw in slo-mo, and easily dispatch his enemy. This is rather effective, but is boring, since it takes no skill.
So there you go, a lot of combat styles, all of them some combination of boring and skill-less. IE, the exact opposite of Western movies/books.