Spare handle for Sage Dual Boiler Milk Wand

The rubber handle for the milk wand on my SDB has started to come apart and I cannot seem to find spares on the Sage website.

This sounds like it should be the right thing, but clearly shows the tip and not the handle.

Where this one for the SBE does show the right part with the same naming convention.

And yes, I did try Sage and they were unable to clarify what the first link actually gets you.

Anyone ordered a spare from somewhere and could share a link? Or perhaps confirm that the one above does get me what I need?