Basically, 126.96.36.199 and 188.8.131.52 are found by using what's called anycast.
Google have this address dotted around every country, and the "nearest" will respond first, so the UK's 184.108.40.206 won't be the same server as a US 220.127.116.11. But, google will be able to manipulate each countries DNS entries to allow, as legacy put it, for local CDN to serve the nearest requester, instead of sending the traffic half way across the world.
Think of it this way, would it make sense for everyone in the world to connect to youtube if it was only hosted in California? It would pretty much break the internet as we know it, as the cross atlantic links would be saturated and pretty much cut NA off from the rest of the world
So they dot CDN's around the world to reduce internet backbone traffic. There's even more to this to be honest, in that they put CDN's within an ISP's network (Virgin have one for google services), so that the ISP doesn't have to pay for massive peering links, and only have to maintain their own core network and shift resources accordingly.
But now, to answer your question.... To improve your gameplay? Seriously doubt it.
Random signature here... I'll get back to this some day!