This isn't really true, if you actually know anything about the origins of Persona. Kazuma Kaneko and Hirohiko Araki actually
interviewed each other, and they discussed the creative processes behind Stands and Personas.
Personas weren't directly inspired by Stands. They were an extrapolation of a concept that evolved from Shin Megami Tensei. You can even see in
Shin Megami Tensei if... the 'Guardian Spirit' mechanic that would eventually become Persona, so there's a very clear and traceable origin of Personas as a concept.
There might've been some superficial or unintentional inspiration, as Kaneko is evidently familiar with JJBA, but nothing as causal as 'Persona wouldn't exist without Stands.'