The first picture also looks somewhat like the tool end on the Bosch variable suction adapter. Think I bought mine from Amazon for $20 and use it with a Fein Turbo II connected to a Festool sander.
I bought the Bosch anti staic hose quite a while ago...didn't like the ends so I put Festool ends on. I have for of the Fein hoses, the diameter is in between the 27 and 36mm Festools. I bought 27mm male ends and removed the threaded hose parts and stuck on the Festool end and secured with silicone tape. Now I no longer need adaptors to use my Fein hoses with my Festoys.
I think the older Fein Turbo II (p/n 9-20-25) uses the 1-1/4 inch (~32mm) diameter hose. The current Fein Turbo II (p/n 9-20-28) uses the 1-3/8 inch (~35mm) diameter hose.
The Bosch VX120 tool adapter works with the quick-connect end fittings on the 1-3/8 inch diameter hose and connects more easily with Festool dust ports than the Fein tool adapter.
I use that adaptor (Vac024) to go from my Bosch glide saw to my Festool hoses. Actually, it fits both the 27mm and the 36, the 36 will slip over it, and the 27 fits inside.