webdip points are meaningless, while GR is basically the Elo rating for webdip - it has all the advantages such a system have been proven to have in, say, chess, where it's used by FIDE and many national federations. It's based on a simple mathematical formula that compares your actual result to what you would be expected to do, given the strength of players in your game.
The GR formula does not take webdip points into account at all. People who think webdip points matter are hilarious. I think people care because, well, they're stupid and lazy - webdip points are right there on the profiles, and they certain LOOK like they rank people, so they must matter, whereas GR is on some obscure (???) site somewhere, so it must be an artificial, esoteric thing no one cares about.
In fact, GR is just Elo - Elo's been around and applied for decades, and has done very well at rating players. GR actually takes the skill of people into account, and adjusts precisely for the difference in GR among different players. Webdip points are, and let me be as charitable as possible, weakly correlated with skill. GR asymptotically approaches the ideal rating for a given level of skill.