But then it came to me that they indeed were a formidable a threat to the Swabian League, and indeed to the Empire and that it wasn‘t so much the classical confrontation, but the widespread threat of these wild mobs and the possibility of guerrilla warfare that it posed. (Much to the likes of the American War of Independence‘s "Hinterland" affairs, Frontier wars ... and again what some might call le petite guerre.)
Just imagine the Truchsess trying to uphold power and order while most of the available Landsknechts and the fighting nobility is busy fighting the Pavia campaign in Italy! Yes, the Peasants are unorganised, but they had and did liase with some "robber" knights and payed Landsknechts as well. Most (in-)famous with the Götz of Berlichingen.
So this brings a range of possibilities, guerrilla warfare in woods and swamps (in Northern Germany the famous Black horde were defeated once by peasants in a swampy area). Negotiations that delay the start of a major conflict and the fighting for "neutral" Robber barons and their contingents of man-at-arms. And maybe once in a while a Peasant generalissimo might prove its worth and surprise us wth our common mis-understanding that these were just neglect able peasant mobs that will flee at the first shot of a cannon.
And this brings of course a rationale to paint some bloody upset peasantry!