https://www.inaturalist.org/guides/17142

they are called madeira hoverflies... totally correct name for them, and how they behave, but they are insect eaters, i have seen them eating flies and attacking flies

i remember in australia and new zealand there was a somewhat similar type of fly that the locals called "bot" flies, not sure why exactly, but also they had a habit of hovering around people, and looking like wasps or bees but not actually being that kind of insect