Another option could be to release a statement like: "We understand your concern, however we are pursuing what we believe to be a greater good, etc. To help you avoid content you don't like, we will improve our labeling."
I don't think they should. Let's be honest; this is corporate America. It's not about "principles", it's about money. If Spotify thinks that long-term hosting Joe Rogan is going to cost them more money, they're going to get rid of it.
[1] Do not look either of these things up. They are both outright white supremacist propaganda. You have been warned.
I'm not saying Spotify should do anything. I'm saying it has other ways to 'do something' about these kinds of things.
In the general case, I think it's bad that the socially expected thing at the moment is to be angry at {something}. It is both bad for peoples mental health and in general and it detracts from more serious issues in the world.
Take for example the situation in Ukraine. Wouldn't it be more effective to be vocal to our politicians to say we don't want to start some catastrophic war there than to try and force a tech company to remove a podcast host? If Joe Rogan isn't removed, will people even remember this discussion in three months? Probably not, because by that time {someone} will have said {something} and everyone will be tweeting angry thoughts at them instead.
I don't have the impression that any politician (in the west) wants to do that.
Just to play with this a bit. Joe Rogan is unvaccinated himself, and he at least has recommended young people not to get vaccinated.
In the meantime ICU beds are/have been occupied by overwhelmingly unvaccinated people (proportionally) pushing out other urgent medical care, all over the world.
I agree that we can't blame everything on something/someone specific, but JRE is the biggest podcast on the planet, so I think it's fair to say he's probably one major source (among others).
I was trying to say that, using the parent comment's framework, even if it was the {popular thing to hate of the month} (which it isn't), if it is sufficiently bad, something should be done about it regardless.