The name being derived from “Aleph-Bet” might be a clue.
Aleph was the semetic word for “ox” and the Phonecian Aleph had a reasonable resemblance to a stick figure of an oxen. Ditto, Bet(h) was house and the correspondence of the Phonecian character to as stick drawing of a house was pretty good. Alpha and Beta mean nothing in Greek, other than the names of letters.