Emma_Islay Staying around £700, the price of the last laptop you linked, these are the two best options I'm seeing in terms of hardware and build quality:
https://www.argos.co.uk/product/3268753?clickPR=plp:2:29
https://www.argos.co.uk/product/3267369?clickPR=plp:3:29
The screen in the second one has better reviews, although the first one is not terrible, and probably fine if you're playing in a darker room. Neither comes anywhere near to an OLED screen though. And you wouldn't see that feature in a gaming laptop, or a screen of the same quality, unless you were interested in paying a significant premium.
For reference, the RTX 3050 in these laptops is about 80% faster in gaming, on average, than the Arc graphics chip in the laptops we've been talking about. The slightly cheaper RTX 2050, which you might see if you're browsing, is only about 25% faster than the Arc chip, and not even that at lower resolutions. Given that the 3050 isn't much more expensive and is a lot better, I would say the 2050 isn't a worthwhile choice here: either go for more performance or the better screen rather than getting neither one.