You are falling into a very common music theory "trap" of using your brain, not your senses. Theory really only exists to describe musical sounds. First you need to train your ears to recognize the sounds. Then once you can
hear it, the theory will begin to make sense to you.
An example is that the time signatures 3/4 and 6/8 both have the same number of beats (3 quarter notes, or 6 eighth notes, per measure). But you would be wrong to argue that a song in 3/4 is in 6/8, or that a song in 6/8 is in 3/4. Experienced musicians have trained their ears to hear the difference between 6/8 and 3/4 time. Even though they are "theoretically the same" they
feel different.
It's the same with relative major/minor relationships like C major and A minor. Experienced musicians have trained their ears to hear the difference. You can argue that "Stairway to Heaven is in C major because there are no sharps or flats in the key signature" but you'd be wrong. If you forget about theory for a moment and just listen, you will hear that the song's tonal center or "home" is definitely not C major, but
feels strongly like A minor.
Don't let a little bit of theory stop you from using your senses. Arguing that "Stairway" is in C major is like driving your car into a lake because you are too busy looking at your GPS.