They are a bad indicator for trying to determine what your salary would be. But I wouldn't say meaningless.
That being said, it's probably worth noting for younger folks that ALL of the top fields, in terms of expected compensation, are all STEM fields (mostly engineering). This is coming from one who majored in English, but made the move to the software field, sooo..... maybe eventual field of expertise is more important than "major" anyway. There's nothing to say a particular major locks you into a career path. On the other hand, I probably would have been hard-pressed to transition into something like nuclear engineering.