Looks like Chr aberr has very big influence on the total score.
Mounted on D5300
AF-S NIKKOR 35mm f/1.8G ED (17 P-Mpix, 2.1 TS, Dist 0.3%, Vig -0.7 EV, Chr 18) DxO Total : 23
AF-S DX NIKKOR 35mm f/1.8G (13 P-Mpix, 2.1 TS, Dist 0.5%, Vig -0.9 EV, Chr 13) DxO Total : 27
Could you please provide page with weights of each parameter and return "Best At" with score or show as tool tip for "Best At" on Scores tab.
And yes, lenses designed for crop sensors usually has better performance than FF lenses on a crop.