Tried this route a few days after the first snow in the mountains.
Start at the gate of Seinz Wisdom Resort, then follow the street to the summer-way "Sommerweg" up to Bergwachthütte and Hörnlehütte. From Hörnlehütte 5-10cm snow and a little bit ice, no serious problem with trail spikes. Over Vorderes und Mittleres Hörnle to Hinteres Hörnle. Direct way down to Hörnlehütte and the same way down to the start as the ascent before.
Not quite sure about the starting point, went to the parking area (50m on privat ground) of Seinz Wisdom Resort and back to the gates, then stopped the time.
For me starting at the gates makes more sence.