Mine gets out of sync like this as well. Like right now, when first opening the Spotify web player (Chrome 124, Windows 10), it just says it's title "daylist" with no description on the Home page, and after clicking on it and going to the playlist, it still says just "daylist" on the playlist page as well... UNTIL you refresh the page... then it updates it with the current description "hypnotic sound design wednesday morning" in this case. But THAT playlist can't actually be played, as the main Play button at the top starts playing songs that are NOT displayed in the daylist it's showing you and instead playing songs from a daylist that you can't see. And if you try to click play on individual tracks in the displayed daylist, it fails, with the response from the player command call getting a 403 Forbidden. Refreshing the page doesn't fix it, a forced hard refresh or forcing disable cache with dev console open in Chrome doesn't fix it, clearing site data doesn't fix it.
So then I open Spotify on my phone (Android 12, Pixel 3a XL) and IT shows the daylist title on the home screen as the same as what the web player said it was "hypnotic sound design wednesday morning" but when you click on it to show the actual playlist... on THAT screen it says it's actually titled "scary animalistic morning" and the track my desktop was playing IS on THAT list.
Hitting play on that daylist from my phone then plays the tracks from the list it's displaying as expected, and if you connect the web player as a connected device... it shows the out of sync daylist on desktop with a ssound spectrum "playing" indicator... but still it's showing the wrong playlist and there's no playing track in the list. Refreshing desktop at this point still doesn't allow it to see the "scary animalistic morning" playlist the phone is playing and that the web plkayer plays without showing, and web player will continue to fail to be able to play the tracks it does show you, and only playing the hidden daylist.
Not sure how it gets so badly out of sync, as I wasn't using my phone when first starting the dyalist from my browser... the web player seems to just make up some other list that doesn't work and refuses to update, and no idea what actually triggers it, but it doesn't happen all the time for me either... just every so often. And I don't think it resolves until the time the next daylist can be generated.