When I bought my coupe it had a "droopy tail" and crosswind takeoffs/landings
were akin to watching a water buffalo on roller skates. With the tail down,
the upwind wing wants to raise, either on landing or takeoff, so your reponse
is to roll aileron in to lower the upwind wing. That also steers the nosewheel
into the wind, which steer the airplane into the wind as it is simultaneously
trying to weathervane into the wind. Hello grass on the upwind side of the
runway.
After spacers were installed to make the plane level and lower the incidence of
the wings, the tendency for the upwing wing to rise was gone and crosswind
landings/takeoffs were uneventful.