Morphing the Torbus Cup

I do not see any difference to the Klein Bottle.

Interesting! The Klein Bot does not have an edge the "Torbus Cup" is only one surface with one edge.. The Klein bottle is a closed surface with an inside and outside.

So, let me try to get this straight in my head:
And "edge" is what separates an inside surface with an outside surface, like the lip of a wine bottle?
If so, then I can picture a Klein Bottle having no-edge, since one can travel along its one-surface, be inside and out, yet never cross a boundary edge.
Therefore, I can picture the Torbus Cup have one-surface like the Klein Bottle. Yet is the Torbus Cup's one-edge be the circle where the tube enters into the bottle as you have illustrated?
If so, isn't that the same case with the Klein Bottle?