Actually, I think for these simulators, the two-seater is side by side so both people can see the screen. I was there a few years ago and did it. I was in the single-person cockpit.
It was late in the day - been exploring the ship for about six hours and wanted to make sure I got to try the F4 sim. There was nobody in line, and the tech was eating lunch. I struck up a conversation and after he finished eating, gave me a five-minute briefing (since he could tell I flew simulators on my PC). I jumped in the cockpit and he let me fly around for a couple of minutes.
Then he said, "just fly around for a while...there are a couple other guys that just showed up." Fifteen minutes later the others are up and flying. It was pretty cool. We did some guns-only dogfights. Then near the end, we did some carrier traps. He pushed some buttons and I was teleported a couple miles from the CV, about 30 degrees to port. Not thinking anything of it, I got myself lined up but had a little power issue and boltered my first attempt. I circled again and nailed it the second time.
The "20 minute experience" that I paid for turned into almost an hour.

After it was all over, as my wife and I were walking away, she told me the tech asked her if I was a real pilot because I flew very well and he had made my simulation tougher than normal after the first 10 minutes.

She told him "No, but he flies on his computer a lot."
