Even not running at max, you won't get anywhere near 4K 60fps on a $700 laptop. A laptop 4050 at 45W (the best you're going to get at the price) will only achieve 80fps in GTA V at 1080p high (not max). What chance will it stand at 4K? Then remember that that's an 11 year old game (albeit one that's had updates).

Even if it did have the horsepower, the 6GB VRAM would be used up immediately and render games unplayable.

I think people are underestimating how expensive gaming laptops have become. The $700 ones are good for eSports and old games. They are not 4K gaming machines.

Then on top of that, the laptops in that price range will have a 250-500GB SSD. Not enough for a reasonable amount of new games.

Using a laptop as a console that you can occasionally unplug and play on the go is a good idea. But if you want 4K you're gonna be paying a hell of a lot more than $700 lol