That would be the classical analogue.

But it doesn’t capture what makes the quantum version of the experiment interesting.

Which is that if you only have one clap, but at two possible times, you will detect (“hear”) the clap at only one location each time.

But the chance you hear the clap at any given position is based on where that position is in the wave you might expect if there had been two classical claps.

I.e. the quantum surprise is single particles interfere with themselves across the alternate paths they could take, not just each other.

Or in this case, interfere with themselves across two alternate times they could take on the same path.