It would be tacky and would make the users look for where the noise comes from and get annoyed not finding it and turning it off.
Don't forget, there are many who read while also listening to their own music.
Most of my gags are something the readers are also running with.
But one gag I am doing every year is an April 1st chapter that has bamboozled them almost every time.
Even late readers, because they don't expect to run into it while going through it.