For FPS type games to a degree i would disagree, to a degree being where in the world the server that you are connecting to is, And some with games the end user has no choice what so ever as the publisher supplies the only online server , one being Ubisoft , their server farm is in Montreal Canada and latency from the uk is high and fluctuates a lot , So every ms counts in those sort of circumstances as the peering used by most of the big isp's is poor +100ms, when 89ms is the norm or used to be
Again depending on your location in the uk distance from ISP's data centre