I am sorry if my guidance was confusing.
Bicycles need a ticket provided they are not foldable or transported in a TranZbag.
My statement was, you cannot buy a Supersaver ticket for the bicycle itself - Supersaver tickets are valid for humans or dogs only.
You are welcome to travel on a Supersaver ticket yet for your bike you either need a normal half fare ticket or the Bike Day Pass (if the ½ fare ticket exceeds the cost of a Bike Day Pass being CHF 14), plus a reservation for IC trains, where applicable.
Does my answer clear up the confusion?