The question is how much is your piece of mind worth to you? And if you are okay with sending your laptop to the depot for repairs?
Naturally, having someone show up to your house to fix the laptop is more convenient than sending the laptop in for repairs which means it can be weeks before you get your laptop back. But it also costs more.
It seems many people complain that their laptop dies or develop problems after the warranty period. However, that seems natural since most people only when they have a problem. Usually when a laptop is no longer under warranty people do not post about not having any problems.
Lenovo is generally reliable. Their business oriented ThinkPads (particularly the T series) are probably the enterprise level laptops you can buy with generally solid customer service. Their consumer oriented laptops are generally good as well for both price / performance and customer service (but not as good as for their ThinkPad series).
The thing you need to realize that gaming laptops generally have the issues (at least in my opinion) because both the CPU and the GPU will be generating a lot of heat. When I play games on my 14" Y470, I disable Turbo Boost. Small chassis does not provide much room for airflow and the one piece heatsink for both CPU and GPU are generally inadequate. Leaving Turbo Boost on the Core i5-2410m hits 92C when playing most games, the exception is GTA IV which hit 99C and the CPU started to throttle down. With Turbo Boost off the temps are basically mid 80's. Not great, but better than being in the 90's.
The way the Y470/570 and likely Y480/580 are designed, the laptops do not benefit from a laptop cooler. There are no open vents underneath the laptop except for the fans. So having a laptop cooler to blow more air into the laptop does not work. Lenovo also refers to underside of the Y series as a "thermal panel", and with good reason... When my laptop overheated (99C CPU temps), I was able to place the laptop on my lap (bare skin) and it merely felt warm; I left there for over 2 minutes. Since the laptop's underside does not conduct heat very well, a laptop cooler did not decrease the internal temps of my Y470; not even by 1C.
The nVidia GT 550m was adequately cooled though. The temps never rose above 65C.