The OED online says about khazi "Origin: 1960s: from Italian casa 'house' "
I doubt that. The OED is notoriously conservative on first recorded usage, with a strong tendency to go for the most recent possible origin. Eric Partridge derives it from
carsey, a Cockney word for privy from the late C19, which may have derived from
casa, via being used to mean a brothel. Seems much more likely to me.
The OED has a few odd etymologies, e.g.
shop. Blindingly obvious to anyone except a certain type of English lexicographer, which prefers complicated, obscure, & IMO unlikely derivations.