No, you don’t want it to grow too much. If it goes into seed the bunnies won’t like it as much. Keeping the lawn short and tender will keep the bunnies happier. Plus it allows clover and other species to compete without getting shaded by tall grass.
My backyard lawn is like this (short with a ton of different species) and I see bunnies there all the time. One of them is actually quite comfortable around me, quietly chewing away as I work in the garden (which they don’t interfere with)!
