It's not censorship, it's just a publication strategy. It's editorialising content they bought and paid for, whether they publish their own property or not is up to them.
Political appointees making public statements isn’t the government asking anyone to do anything.
While it may not be in legal terms, many see it as an opportunity to greenlight the bypassing of legal/legislative procedures, especially by those who consider the current administration(s) political allies.
As an example, Jen Psaki has stated in the past that they are working with social media to "handle disinformation", and the likes of wokie Zuckerberg wouldn't hesitate to operate outside of Congress or courts to satisfy the whims of his masters.
If the government had made a law making it illegal for Spotify to carry Joe Rogan, that would have been censorship. None of the conditions were even close.
Spotify is a private institution, and has the option of carrying content, or not, at their editorial discretion. You can disagree with their choice, and if you do, the proper redress is to put pressure on Spotify, not to claim it's government censorship, which it's not.