Some CIA are never officially on the publicly-reportable payroll and never break cover within other government agencies. Prime example Peter Strzok, CIA embedded in FBI leadership.
Elizondo has been in intelligence all his career. He’s a spook beyond all doubt.
Not likely an intelligence agency will leave smoking gun evidence laying around. But when you have several decades of events in hindsight, going back to WWII and even prior, capabilities and tendencies can be discerned.
It’s clear the CIA is the nastiest of the nasty. If they didn’t have the golden goose they’d rob and murder whoever did. Therefore it’s a fairly safe assumption they have it.
There are twenty something intelligence agencies in the US these days.
Blaming one of them for everything and anything is laughable on its face.