[PittleyDunkin]

Yes, exactly. Linear A was the first alphabet, and greek gave "alphabet" its name.

I almost get the sense that people are interpreting abjad as "lesser-than" an alphabet. It's just a distinction, it's not a value judgement.

[DiogenesKynikos]

It's a subclass, not a separate category. Some alphabets don't write vowels.

[PittleyDunkin]

How do you refer just to the sort of alphabets that do have vowels and not abjads?