Its ok to continue the interview but its also ok to finish, leave and never return. They're as much under investigation for fit as you are. Hold them to your standards.
You got a glimpse of what working with them would be like in future. I'd say you found them lacking. Can you imagine a code review with that person?
All that assumes that the interviewers' behavior was "just" rude, if the cross line like sexism, racism and similar thing the solution is standing up and leaving. Their is only so much you can learn from abusive people.
I would also suggest this; it signals to the other interviewers that they just lost a potential candidate because of John Doe's behavior. They might take action, but they need to understand the consequence of having that guy on the team, or at least in the interview room.
The interviewer may still tell people that you gave up halfway through, but if anyone else is listening or the interviewer is accidentally honest, it is more likely to trigger change by emphasizing that the company is losing you rather than you are losing the company.
You would waste your own time, too, with this approach.
I was asked to show up at 8am, but I was not told I would not be leaving the office until 6pm.
Also, I was told it was a direct hire - when I got the offer for something like $35/hr in a major city as a mid level programmer, I sorta lost it on the recruiter. No vacation, purely contract work through the recruiter.
More or less lied to during the entire process. I guess some candidates are happy to get a job and just put up with it? It has to work sometimes...
* "We have this amazing CTO / CIO / VP Role."
* "What's the pay range for this role?"
* "We pay market rates"
* "I'm currently making $X at my fancy FAANG role. Can you beat that?".
* "Oh. Nevermind".
It's helped, but there are still false promises made.
Sadly yes and they don't have a choice, but anyone accepting that shit who do have a choice are lowering the standard for everyone else.
I would have had to move across the country and they recently laid off 1000 (50%) of their staff, so in retrospect I figure I dodged a bullet, but wow!