While we haven't stayed in a standard room at the GF or WL, we have stayed concierge at the GF RPC and concierge at the WL. We loved both resorts but I would have to say I give the edge to WL.
GF Pros: Beautiful lobby, great pools, lovely rooms, great concierge food offerings, excellent mousekeeping; very elegant resort; had view of castle; on monorail line
GF Cons: Distant guest self-parking; found the concierge staff accomodating yet not overly friendly; can take a while to take the monorail to Epcot (by this I mean 3 stops to TTC and then transfer to Epcot monorail - one afternoon my husband was coming back from Dive Quest and the monorail broke down - it took him several hours to get back).
WL Pros: Beautiful lobby, nice pool (with a little one we like the kiddie pool and the playground); we love the relaxing boat ride to the MK and the boat ride to FW (where my son loved the pony rides), nicest staff of any resort we have stayed at (GF, Contemp, WL, Poly, and BWI); the concierge staff were so friendly and went out of their way to help us; mousekeeping was excellent here; lower cost to stay here; had view of castle in distance and could watch fireworks; close guest self parking.
WL Cons: No monorail access although we didn't find it hard to get around; we rented a rental car and just drove to Epcot and found the boat to the MK quick; rooms are smaller but we are a family of 3 and actually love the theming of the rooms at the WL.
I think you'll be happy with either choice.