Not really. Aspect ratio is the defining factor.
1080p vs 4K both 16:9 and 27", for example, will have the same field of view and size. 4K will just be higher detail.
2560x1080p display though will see more to the left and right, but that is 21:9, it will have the same vertical view.
32:9 is even wider and is basically just two 16:9 screens. Not many monitors larger than that available for purchase.
A larger screen is just larger. You can feel higher immersion, but you aren't seeing more. You may actually be seeing less since more of the screen is in your periphery where you see less fine detail.
And of course there is multi monitor where your aspect ratio can go out of the window and you can conceivably make pretty much whatever you want as long as you have the video outputs and graphical horsepower to render it all.
Not too many games support it outside of simulators, but you can also have directionally placed screens where there physical location from the center of the digital camera within the game can be accounted for. That would let you have screens say, above, below, left/right, in any orientation acting like a window in a cockpit.