I have never heard a British person EVER call a bread roll a `pudding`.

We DO have arguments….mostly of a regional nature. I`ve heard bread rolls called both baps and barmcakes, for instance. But never, ever, a `pudding`. You are misinformed.

Or perhaps you are confusing the term with something else…dessert, afters, or whatever you call the sweet course in the US.

I have many times had a nice scone for pudding. `Pudding `being a common ( if now dated) term used for the second course. It is not the name of the confectionary itself, though, but an indication that it follows the main, usually savoury, course.

You are correct that both are understandable.

The only other possible everyday meaning I could think of would be ‘I see him [in my mind’s eye] last night’; that is, I am, at this very moment, imagining him last night. But it should almost always be clear from context which one is intended.

‘Correct’ doesn’t mean ‘understandable’, though. If I say ‘Me want have fooding’ it’s pretty clear what to understand from that, but it’s not anywhere near correct Standard English grammar. If you lived somewhere where you spoke a dialect of English in which this was acceptable grammar, however, then it would be correct for that dialect.