I would say that "analogue" and "digital" *can* be applied to tuners. Obviously the input is always analogue signals in a UHF channel. But "analogue" and "digital" relate to the signal processing that the tuner carries out - does it demodulate an analogue-TV signal using vestigial-sideband AM and produce an analogue output (composite video); or does it decode a digital-TV signal using COFDM and produce an MPEG data stream?
It is surprising how many modern TVs still include an analogue-TV tuner - sometimes it is the only way of injecting an analogue-TV signal from an old device such as a VHS recorder/player. Given a TV *has* analogue-TV input, it is a shame that it does not also have a baseband analogue (eg SCART) input for devices that have no RF tuner but only baseband analogue output. We have an old digital-TV HDD recorder which has SCART but no modulator, so our modern TV cannot play anything on it (legacy recordings). I've already copied off (using an analogue-TV digitiser) some recordings so they are in MPEG=TS format, but anything else can only be played on an old TV which is old enough to have analogue input.
But this is a problem which will gradually go away as fewer analogue-output devices remain with legacy recordings on them.