We found 2 Reddit comments about Best of Smooth Jazz. Here are the top ones, ranked by their Reddit score.
Yeah this is pretty much how I remember the Weather Channel when I was a kid.
They used to pair it with elevator music, and it became so popular that they put it on CDs.
Here's an actual broadcast. Very similar to what OP posted. 1980s broadasts were similar as well. I guess a lot of this stuff was a precursor to Vaporwave.