Yeah for sure, they make it way easier to press the shoulder buttons when you've got them sideways.
OmegaMouse
Yes, I think you're correct - playing the game when it came out would have been a very different experience. It's obvious that it was very ahead of it's time and I can see how it has inspired so many others, which have really improved on that style of gameplay (Uncharted comes to mind).
Big corporation: Whoops, we lost this game so we can't re-release it. Sorry. Even if we found it, it's not worth our time/money porting it.
Meanwhile, random person on the internet: I've updated this emulator so you can play old games at 4k 60fps for free. The weird bug that was never fixed at launch is now gone too.
It depends on the game. For something like COD, it feels like it goes against the fast-paced nature of the game. However, in squad-based games like Battlefield it's a sensible tactic. You want to observe your surroundings and do some overwatch rather than running in guns blazing. (However if you're just sitting on a hill sniping other snipers for 30 minutes rather than playing the objective it can be annoying).
The first two games that came to mind are unfortunately only available on PS4. I'll mention them anyway, just in case they come to PC in future or someone else that has a PS4 is interested: Tearaway Unfolded is a really sweet game in a paper craft world. You manipulate paper scenery to help with platforming and really customise your character in creative ways. Just a unique and charming game. And Gravity Rush 1&2. These games let you alter gravity to fly around a beautiful open world - I've never played something with a traversal and combat system like this.
I agree with Obra Dinn and the Witness as mentioned by others!
This is probably a weird suggestion, but you could emulate Metal Gear Ac!d 2 (PSP game). It's a stealth game (like the rest of the MGS series) mixed with a deck builder, so your actions are dictated by the cards that you play. The second one in particular perfects the formula IMO. It's super satisfying and I'd love to see more games of this type!