The technology that Mozilla produces is of great importance. But that does not mean that all other concerns are totally irrelevant.
Let's use an example where Eich held a really extreme opinion (like, maybe all non-whites in California should be shot on sight, or something ridiculous like that.) There would likely be widespread opposition to his appointment, and I find it difficult to believe that there would be anybody preaching about the unfairness of the "internet lynch mob" then.
Obviously that's not going to happen. But it demonstrates that there's clearly a point at which the personal views of an important public figure like Mozilla's CEO are important. With that agreed, it's obvious that the difference is merely in terms of the importance different people afford it.