To be perfectly honest, I doubt there are dozens of director-level interview samples because there aren't tons of engineering directors, further "director of engineering" is a management, not technical role, so wouldn't be given questions like this, at all, and of the remainder, most of them were promoted from within google, not hired from outside it.
Most new hires get screened in some manner, but very few new hires are directors of engineering, so I'd mighty curious to see your source for the interview questions they got.
What these questions are are the standard set of pre-screening questions asked of a potential SRE IC or maybe TLM candidate. A SWE wouldn't be asked these questions, because they aren't related to the role. A SWE candidate still might get screened, but not with these questions.