I'm surprised that wool soaps aren't on the list. I voted "other specialty detergent".
Half of my biking apparel is wool, and I use Woolite in the machine on gentle for all my biking and athletic clothes combined.
In fact, so much of my normal everyday clothes are wool, that I often just use Woolite for my whole laundry load. Been using it for years and my lycra and merino all seem to be doing just fine with it. My husband likes his Kookaburra wool detergent for his wool and lycra, in the machine as well.