What is a hinderance to freedom of speech is not the bullying itself, but the mindset behind it. If you can't make a foolish joke without having your entire life ruined and getting fired, then yes that is the very definition of lack of freedom of speech. Getting fired for a joke, come on? Action and reaction are completely disproportionate. But worry not, I will absorb the downvotes like a sponge for I know that my common sense has not gone missing yet.
I do agree that having one's life ruined over this sort of thing is disproportionate, and that's something worth talking about. But we've got to be careful not to overreact to this sort of thing, which just results in shouting matches.
Let's remember that it's one thing to 'make a foolish joke', and it's another thing to 'make a foolish joke in front of millions of people.' One of the issues here is the lack of understand that people have about the act of publishing, and I think we'd be better focusing on that.
As over the top as the internet lynch mob might have been, I don't think a private company opting to fire a PR director for badly misjudging a public communication falls into the same category as making blasphemy a capital crime.