Since the site is from Mitanni[2] then some will also surely be in Hurrian[3] and maybe Amorite.
[1] https://en.wikipedia.org/wiki/Akkadian_language#Development
Even in narrow contexts, that's not how linguists use the term. Futhark runes are pretty clearly alphabets, because consonants and vowels are treated as independent symbols.
In the narrower sense, some scholars distinguish "true" alphabets from two other types of segmental script, abjads and abugidas. These three differ from each other in the way they treat vowels: abjads have letters for consonants and leave most vowels unexpressed; abugidas are also consonant-based but indicate vowels with diacritics to or a systematic graphic modification of the consonants. In alphabets in the narrow sense, on the other hand, consonants and vowels are written as independent letters.