Yes, of all the things that a kugel might be, it's NOT a pudding, either by the United States meaning OR the British meaning.
(The British meaning of "pudding" is "dessert", while, in America, what we call a "pudding", they call a "custard", and what we call a "custard", they call a "flan", and what we call a "flan", they call a . . . well, as far as I know, they call it a "flan", too. But our "flan" is specifically the one of Spanish origin with eggs that's served un-molded (or un-moulded) with orange sauce. "Kugel" does not fit ANY of these definitions, except that you could use SOME lokshen kugels as desserts, but they're generally used as side dishes, even if they're sweet.)
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(The British meaning of "pudding" is "dessert", while, in America, what we call a "pudding", they call a "custard", and what we call a "custard", they call a "flan", and what we call a "flan", they call a . . . well, as far as I know, they call it a "flan", too. But our "flan" is specifically the one of Spanish origin with eggs that's served un-molded (or un-moulded) with orange sauce. "Kugel" does not fit ANY of these definitions, except that you could use SOME lokshen kugels as desserts, but they're generally used as side dishes, even if they're sweet.)