Interviewing is hard and I applaud you for trying something newer and more realistic but I'd be cautious in thinking "spend 30 minutes designing a system and be prepared to defend your work with massive risk/reward hanging in the balance. Begin... NOW!!!!" is representative of how someone will work on the job. There are an awful lot of people who will solve the crux problems driving home after the interview or the next morning in the shower vs. on-demand.
I certainly don’t say BEGIN NOW! It’s a conversation. I continually ask questions during the design and ask the candidate to speak about the decisions being made.
In all honesty this process can easily last more than 30 minutes.
This is not a hard problem for someone with the experience I want, and there are many different correct answers.
Then if it’s a front-end position we can move onto UI components for it; for back-end or full stack I focus on implement a couple of the CRUD operations.
You really get to see how people think and will work on the job with questions like this.
Implementing a sorting algorithm from scratch is a waste of time in many projects: use your libraries and get on with life. That’s why such interview questions are not important to me.