Having done that walk in "cute" shoes (I was going to a DVC thing) and having that destroy my feet, honestly, I'd take a cab.
But if I had to walk, I would go from hojo into the bag check at the esplanade, go into DTD, get to the Grand Cal entrance (on the left just past Sephora), through the hall, out the fancy doors, and then out the driveway and across the street to PPH.
IMO it's a pain when you're trying to get somewhere in a hurry. If you have time to relax and saunter and take your time, do that (I'd give it an hour if going SLOW and sightseeing), otherwise...
well, hotel room to parking lot = depends on where your room is...
parking lot to bag check = 10 minutes for us usually...
bag check= ?...
cross esplanade = 1...
to Grand Cal entrance = 5...
through Grand Cal out doors = 3?...
out driveway cross street into PPH get to restaurant = 8?
Many variables.
I know that I, personally, wouldn't go through a gate stating Cast Members. If it's allowed that's great, but I know that I wouldn't go through it unless it said CMs and guests