A comparison to old european cities would be interesting.
So in most cities if you zoom in on the map you'll see mostly grid-like patterns. But as soon as you start zooming out it fades away into a mash of directions, turns, and swirls. The only places where it's hard to find any kind of straight line is in (centuries) old city centers.
I don't find Weimar particularly "griddy" compared to any other city.
P.S. Barcelona is the "griddiest" big European city I know. Even though at some point the grid changes alignment they have huge chunks with almost perfect squares between streets.
When I visited, I was confused about how the city was configured so oddly until I saw a pre-modernization map, then everything suddenly clicked.