1. Like you said, google is sorta an indicator for the industry, and a safe haven. It is a bellwether for the 21st century of Silicon Valley and it defined software engineering and tech for a while. Its buses, food, and perks were famous enough to get movies about its interns.
2. You can't fire Zuck, its not possible without his consent, since he is the majority shareholder. You could fire Sundar. Other tech CEOs that did layoffs (eg. MSFT) have generally well-liked CEOs or already are experiencing leadership changes (salesforce).
3. To build on (2), people don't really seem to like Sundar. He isn't a technical guy, just an MBA from McKinsey (he has an unrelated-to-software engineering degree). There has been a lot of ink spilled on if he has a vision at Google, which I won't take an opinion on, but he was CEO for a lot of the time where people thought Google was getting worse. People complained about quality of search, bureaucracy in the company, inability to diversify income (although they still make a lot of money), etc. The only good thing I've heard anyone say about his was an (Indian) Uber driver who said that he represented the dream for Indian immigrants - going to IIT, moving to America, and getting put in charge of a major global corp.
4. Meta did layoffs early, and 'honorably'. They got a lot more news coverage being early, but they didn't lock people out in the middle of the night. That causes a lot more complaints from those laid off. If google didn't lock people out in the middle of the night without warning, and discussed why and who was going to be affected, then they may have gotten better press, especially from ex-employees. I've definite seen less news about google layoffs that don't include google in a list of the industry, while earlier layoffs had their own news cycle.
5. Cynically, most companies time bad press to news cycles, google didn't do this. Meta did layoffs near the election, which was a much bigger news event.