I agree, the two plants are definitely the not same plant.
The photos that Janice has posted looks different than your photos Peter. But I have to say, her growing conditions are quite unique. The month that photo was taken she would have had relatively high temperatures and very high humidity for growing conditions and a lot of moisture in the ground. In my experience that can cause the webbing to shorten up and detach.
I have some of my arachnoideum that will do that depending on the time of year and conditions at the time.
I'll see if I can get photos of PO's plant. Maybe bring one home and grow it for a bit.