If the singer is somewhat good (so that the correction is small) and it's applied well, you have no chance. Even musicians will have a hard time.
But you can definitely notice it in sum - everything sounds pitch-perfect and all the little misses, which might be stylistic in and by itself [0], just go missing.
[0] A good sound engineer will of course know when not to use it, but the unintentional characteristics go missing.
It’s not just autotune, but also the fact people today can make almost infinite punch-ins, a lot of music is time adjusted, samplers and modern synthesizers are in perfect tuning (compared to orchestra/guitar/synths of the past).
IMO “perfect music” has its own sound, which is a good sound, but there isn’t much to go after it. Maybe the next wave will be a little looser when it comes to this.
It can be set to be very subtle to the point of imperceptible, keeping the vibrato and the portamento, to the point it is impossible to pinpoint its usage. But it kinda has a sound: vocals that go trough it sound absolutely flawless.
Whether regular people can perceive it, I have no idea.