The coordinates are the part that matters
Camera make, lens and exposure settings are harmless and often interesting. The GPS coordinates are neither. A phone with location services on writes the position into every photo it takes, frequently accurate to within a few metres, and that data travels with the file everywhere it goes.
For a photo taken at home, those coordinates are your address. For one taken at a school gate or a workplace, they are a pattern of where you are and when. Nothing announces it, and nobody is prompted about it — the file simply carries it.
This is not theoretical. People have been located from photos posted to forums and marketplace listings, and the sale of a second-hand item with a photo taken in the living room is a routine example. Checking before you share costs a few seconds.