If it's like i.e. the Micro DD decks, the built-in strobe is sync'd to the mains frequency, whereas the internal oscillator is not. So if it's by a very small amount, and you're using a mains-frequency strobe . . . It could be the mains that's ever so slightly off, not the turntable.
But if it's way off, then probably the TT is indeed at fault. Crystals do indeed drift with age, and sometimes surrounding circuit components can affect their accuracy as well.
But if it's way off, then probably the TT is indeed at fault. Crystals do indeed drift with age, and sometimes surrounding circuit components can affect their accuracy as well.