it doesn’t matter that you can solve them, you need to be able to solve them in under a minute while your interviewer is constantly distracting you. so basically, it has nothing to do with being able to build software.
I realized that my issue with this style of interview are not the questions, but this exactly. I can solve lots of Leetcode problems, some just take me longer than others.
It’s even worse when the interviewers behave like you described. Most I’ve met, luckily, were cool and just followed what I was doing eventually asking some questions and sometimes giving me pointers; the worse I’ve found would not accept any solution I proposed and would keep asking “how about not using extra space or how about solving in O(1) or how about you solve this in 5 seconds”. So freaking annoying.