You are correct, sorry looks like it comes with the tube.Not the samething. The ones you provided link to is a tension clamp. The one in my pic has a screw attached to tighten the clamp.
You can get a similar clamp from McMaster Carr: Worm-Drive Clamps with Smooth Bands for Soft Hose and Tube
It won’t have the little slit in the clamp that allows it to stay secured to the rubber tube but you can either Dremmel and file a slit or you can just trim the little rubber tab and use the clamp as is.
You will just need to measure the diameter of clamp you need and order the size you need.
I would also choose the full stainless clamp.