There are two things I'd like to ask, in this discussion.
The first is whether the social condemnation of "wrong speech" is the problem here, or the social standard of at-will employment for a living. There are a lot of people who have trouble getting good employment for various reasons beyond their control. To worry about those who are already employed, especially when they make "wrong speech" about those who are not (e.g., an IAC executive talking about AIDS victims in Africa), seems to be misplaced priorities. If we truly believe that people should not be losing their living for small mistakes, we should also believe that people should not lose their living for no mistake, either, and we should find a way for everyone to live a comfortable, happy life, whether or not any employer wants to associate with them.
The second is that I don't believe that this is actually happening. There's been a certain scientist in the news recently, who resigned from his job, but has kept his knighthood and Nobel Prize. This does not seem like unlimited consequence and going into hiding and starting a new life. It certainly does not seem like a poor-taste joke made to 50 Twitter followers; the comment in question was given in an invited speech at a conference with a worldwide audience.
I believe there is certainly an incentive for the powerful to weave a story that regular innocent people are losing their lives for an honest mistake, since they want to protect their power (the same reason they have the opinions that people find distasteful: they act in accordance with those opinions, to protect their power). But I think we should be skeptical of this tale.