People keep saying this but Neil Young and the others never pressured Spotify to do anything about Rogan or anything else. His statement was very clear, he didn't want the association and wanted his music removed.
If he had just quietly pulled his music, I would agree. But since he made a public show about it, its clear the purpose is to exert pressure on Spotify and/or to encourage others to also pull their music to force Spotify to change their policy on Rogan.
Making a public show to exert pressure is an act of free speech. Just because someone doesn't agree with the intent or consequences doesn't make it not a speech act.
The issue isn't whether Neil Young's speech act was in accordance with free speech--it was. The issue is whether his speech act was indented to curtail the speech of another--it was. These claims are not in contradiction.
This logic very quickly crumbles when you are confronted with the fact that Joe Rogan saying trans people are the downfall of "western society" is also intended to curtail the speech of another.
It's almost as if free speech absolutism alone isn't a complete and consistent framework. Deciding that speech acts which call for the curtailment free speech are permissible makes the system inconsistent. And deciding that those speech acts lies outside of the system in which they are constructed makes the system incomplete.