Displacement will create some bump for reflection/lighting for the glass to interact with. Maybe I just had things setup different, but the rain was either entirely hidden (just almost perfectly translucent), or solid specular streaks so I added disp which seemed to breakup specular and translucency, as if they're stretched cylinders.
It seems more realistic. Rain in the brights, less visible than rain in the dark areas, but also some variance of reflection on each streak.
I admit this share I made the rain kinda smaller but I was trying to match POV which maybe wasn't best for demonstration.