Those advertised as "single supply" tend to include one of the power rails in the input voltage range, and some even also include excursions slightly out of the power rail, typically having -0.5v to Vcc-1V as input voltage range. Dual supply ones tend to have large areas which the inputs must not go within, typically 2V or so from each power rail, making a dual supply more convenient to use. Yes mostly a semantics thing, but in single supply applications you tend to have inputs referenced to a supply rail in most cases, and it can be both hard and inconvenient having to scale and apply offsets to all the inputs to keep within the CMRR range, and many opamps can do odd things when you go out of the range, from the output inverting, to the opamp latching up either destructively or non destructively.