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Wouldn't all Type Ia supernova be examples of at least one possible end state of such an event?

https://science.nasa.gov/resource/type-ia-supernova/

The larger star explodes first in a Type II supernova, becomes a Type Ia.

You're asking a question in response to a question. Your Type Ia link suggests this is not what is happening with Betelgeuse though. Its companion star is not a white dwarf. Betelgeuse itself is the start expected to go boom. So what happens to its companion? The anim you linked to shows that the white dwarf's explosion didn't destroy its larger star companion, but Betelgeuse is the opposite with the larger star going boom.

You're misunderstanding.

I'm not saying Betelgeuse would be a type Ia. Betelgeuse will be a Type II supernova.

I'm wondering whether Type II supernovae with smaller partners later become Type Ia once the larger partner explodes and becomes a white dwarf. The former smaller partner then becomes the relatively larger partner that loses mass to the remnant.

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