This is just scratching the surface - his religious posts went on and on and on whilst he was Intel CEO.
https://gizmodo.com/things-are-so-bad-at-intel-that-the-boss...
https://www.indiatoday.in/technology/news/story/intel-facing...
https://www.reddit.com/r/intel/comments/1hb1imh/former_intel...
https://x.com/PGelsinger/status/1891069258953576711
https://x.com/dylan522p/status/1820503612591919375
You could've just said, "I thought it was extremely strange that he posted so much religious stuff while CEO". That would've been a very defensible position. You didn't need the false part of posting from official Intel accounts.
Or, if it was an honest mistake, you should've written something along the lines of: "Sorry, I misremembered, it was his personal accounts. But when you're a CEO, I don't think the distinction matters much; anything you post will be read as 'Intel's CEO says'".
CEO's should be sufficiently self aware to understand that they should not be foisting their beliefs on the company and their employees and customers.
Being unable to recognize that is a very bad tell about a persons judgement.
Based on my brief interactions with him, and my overall experience with Intel as a project partner at the time, I'd say he has exceptionally high integrity. I'd bet he didn't even have his books ghost written.
https://pnc.st/s/business-books/9720205c/the-juggling-act-wi...
He gets into many of the issues discussed in this thread: having faith while being a CEO and how to handle that.