I contacted customer support just in case someone might know and they said the gaming one is compatible with all consoles. I thought this was a silly answer but the guy is probably doing his job only and I didn't feel like antagonizing them with more challenging questions:
Product 1, none gaming version:
https://www.electriq.co.uk/p/eiq-15f...riq-eiq15fhdpm
Product 2, gaming version
https://www.electriq.co.uk/p/eiq-15f...rt-and-service
Unless I am missing something, in my view both are exactly the same. The gaming version is £10 extra ($17~) on eBay, brand new, both from the same seller I intend to purchase it from. But just in case I'm going mad here or am severely missing something obvious, in my opinion if it's HDMI enabled then both should be compatible with all consoles (that use HDMI at least; the person who responded to me should have at least made that point clear in my opinion. A PS2 user won't be able to utilise it without some extra adapters for example)
Maybe insert the office meme here "they're the same picture" haha