Tube tool stick to the surface

Can the tube tool stick to the surface of the object and set the vertical offset of the tube from the centerline?

Or a suggestion, the depth offset of the tube tool on the surface of the object is just a suggestion, I don’t know if it’s difficult to do

You can see that the “snap ever point” option in the tube tool settings is broken.
It only snaps the control point instead of all the tube geometry.

I could add an offset slide, right now is snaps on the center line indeed.

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