But standing waves are how it all works.
We sort of have this idea of a column of air from the speaker to our ear, vibrating just so, but that's not it AT ALL.
A room, any room, has a whole whack of resonances. When a speaker vibrates, it excites all those resonances to one degree or another. If it's playing a A440, you'll get a strong cluster of resonances around 440Hz, another around 880, and so on.
Now when a room has some really really dominant resonant frequencies, you can run in to problems, and that's what people generally mean by "standing waves", but in reality it's all standing waves. It's not a column of air, it's a 3 dimensional drumhead, and you're in it, somewhere. And your brain reconstructs that A440 piano note from the incredible dirty mess it gets from the room, it locates the speakers largely by the differences in what one ear hears over another (delays in attack and phase relationships), as well as constructing a surprising amount of information about the room that we're normally unconscious of.