Mist olive oils on the market are fake? Or blended.
But it is easy to purchase quality, pure olive oil. Olive oil is also easy to identify and frying with olive oil should help in ascertaining the quality as pure olive oil doesn’t perform well at higher temperatures.
Careful reading indicates the ‘fakes’ simply do not meet the standards for ‘extra virgin,’ not that they aren’t olive oil, although there are mixed oils, some labeled so.
And Italian brands may not be actually Italian olives. Most of the studies crying ‘fake’ are themselves conflating issues.
Extra virgin olive oil goes rancid and doesn’t take heat well, so there is incentive to alter it.
California olive oil seems less likely to be ‘faked’, and Walmart’s Kirkland and Trader Joe’s are known to be reasonably priced good stuff.