It's my understanding that once you add any herbs to Hollandaise that it is no longer Hollandaise but Bearnaise?
Is this a correct assumption?
Bearnaise is based on hollandaise (hollandaise being one of the 5 French mother sauces). Yes, it is an egg yolk-butter emulsion with the addition of herbs. Personally, I would say that it is a version of a hollandaise.