What does anyone think of this reading?
Your interpretation seems very reasonable, and essentially corresponds to what I said on the basis of 'common sense', without specific knowledge of the law.
That common sense would suggest (to me) that ...
(1)... if an item comes with an attached (wired to item) cable, and is suitable for use with a BS1363 plug, then there must be a BS1363 plug attached to the cable
(2)... if there is no cable/lead at all, then clearly cannot be a requirement for a plug to be fitted, but there remains the question of whether it is legal to supply an item without any lead IF it would be suitable for use with a BS1363 plug.
(3)... if, as in the case we're discussing, there is some sort of (male) 'input connector/socket' on the item, I would not personally have expected there to be any legal requirement to supply a suitable lead (that would plug into that 'input connector', with a BS1363 plug on the other end) - since there would be no danger in the absence of that lead (the item simply could not be used!).
(4)... as you say/imply, IF a lead is supplied which connects to some sort of 'input connector/socket' on the item, then one would logically expect that there would be a legal requirement for there to be a BS1363 plug on the other end.
(5)... If an item is NOT suitable for use with a BS1363 plug (needs more than 13A), then I'm not clear as to whether or not it would be legal to sell it with a connected cable (with the end being 'bare', for hard wiring). In practice, I think such items are usually sold without any cable/lead
Kind Regards, John