Doxing over something this trivial is unnecessary.
You being (potentially) doxed doesn't make it right either.
Red herring. Nobody can actually dox Lauda, except maybe the NSA (who may or may not be able to dox anybody).
Her hypothetical statement clearly illustrated the hypocrisy of people who object to her actions of avoiding disclosure of hackers dox, whereas the rabble would cheer if she were to be doxed. Anything else you read into it is just that.
Even if the reactions are not "uniform", it still doesn't make it right. For example despite Quickseller's (speaking of puppet masters) repeated attempts to dox me I wouldn't dox him unless there is an actual reason.
More red herrings.