The Tiger Club impressed on me the importance of wheeling-on both the Tiger Moth and the Stampe if there was any crosswind at all, but that it was a little less important with the Stampe due to its tailwheel against the Tiger's skid.
The rationale was to use the rudder to maintain positive control in yaw throughout the landing and subsequent ground run in order to avoid groundlooping. Taildraggers were designed when all airfields were aerodromes and you always landed into wind. Then three pointing was the norm. As soon as fixed runway directions forced out of wind landings to become common wheeling on had to be introduced as a normal procedure.
My Stearman instructor said much the same.