Which is why it’s nice to see Peter van der Veen write on ANE-2
Frauke Gröndahl already argued in her „Personennamen der Texte aus Ugarit“ (1967) the name already occurs as isi-baal at Ugarit during the Late Bronze Age („man (or my man) is Baal“). Several explanations have been offered, some taking the element „esh“ or „ish“ as verbal, most prominently so with the connotation „to exist/live“. Several parallels from the ancient onomasticon can be offered for the latter.
In other words, the pot with the name scratched on it is nothing special.