When you listen to the radio, you are not buying anything from the radio station. When you buy a CD, you are buying something from the publisher of the CD. The fact that the radio station and the record label belong to the same company is beside the point, except as a marketing tie-in.
And you glossed over the main point -- that these edits are published with the permission of the copyright holder.
Ands you missed the point that the copyright holder has already given permission for the exact same cuts to be made in the TV and airline versions of these movies.