Yeah, I don't think these holding companies mean much to people inside or outside the company. No random person on the street knows what Alphabet or Meta is, they know Google and Facebook. I certainly don't put "Alphabet" on my resume. I worked there and I don't even know what it meant exactly.
I'm not sure about that. Whenever our public TV or radio station, the Australian Broadcasting Corporation, makes reference to Google or Facebook in a corporate sense they always clearly mention the parent company.