Ive played both courses countless times going back to the mid to late 80's when I played junior golf and was there for basically every junior tournament every season.
Public Side (west) - course is ok. Some decent holes but for the most part pretty wide open, especially when you get up into the back side. First few holes are conditioned ok but then in the summer it gets pretty rock hard up top. Fairways burn out pretty easy up top and its a lot of back and forth golf. Definitely dont put the money into it that they put into the private side. Greens are pretty slow but roll ok. Clientele is mostly guys who just want to play and dont care about the conditions much, young college kids who can get out there and play all summer for little cost. You wont be finding any high end players or businessmen/women playing here.
Private side (east) - back in the day this place was pristine. Really took care of it and it was a pleasure to play. Its still decent but IMO its lost its luster a little. Greens can be quick and usually are good. They have done some work adding length to tees. Back side is a little quirky and gimmicky but for the most part its not a bad place to play. They still host some NYS qualifiers there as well as some district events. Clientele is more professionals, guys and gals who work in more white collar places, want that private club distinction and if need be can have access to the public side as well.
As far as the private side and how it compares to other private courses in the area, its low on the totem pole. Tuscarora, Bellevue, Cavalry, Onondaga, Skaneateles are all ahead of Drumlins.