This was very similar to my first experience interviewing for an SRE role at Google. After about 20 minutes I got tired of arguing with a clearly non-technical recruiter and politely excused myself.
My second interview well, that was a whole different bucket of problems.
Yeah. I'll never interview with Google again. I've got friends who work in (mostly nontechnical) roles there who had very different experiences, but my interview was such a hot mess of disorganization, cluelessness and arrogance that I ended it early and told them I had no interest in the role or the company.
Yeah I had a somewhat similar experience. My first technical interviewer was 15 minutes late (so it was now a 30 minute interview). Then, after being asked the typical slew of questions (what is a hash table, etc) I was asked to implement a basic data structure (Set). Which was easy enough but my interviewer wouldn't let me finish writing up my implementation and, instead, insisted I focused on optimization of a particular, custom method he asked me to implement. I protested (premature optimization, etc) but ultimately went along with it. I finished optimizing but didn't get a chance to finish my Set by the time the interview was over.
I got an email a week later saying thanks but no thanks with zero explanation. I had gotten everything right, what went wrong? So I had some of my Google friends track down the interviewer and ask. Apparently I didn't continue forward because I didn't finish my Set implementation...
I've had Google contact me on occasion since then. I have not re-applied / re-interviewed with them. Their interview process is already bad enough.
My second interview well, that was a whole different bucket of problems.