Edit: to be clear, the interview was live with an interviewer. So it wasn’t a take home in the scheduling sense either.
I agree that take homes can be simplified with your suggestions above, and that certainly makes a better experience for the candidate. The hybrid format is also great - future interviews become an extension of your previous work, so it’s more comfortable than having to context switch for a new challenging problem each round.
I didn’t find this in your linked database, but I also enjoyed GitHub’s take home. I only recall spending 45-90 minutes on it, and the setup process was seamless. A recent blog post describes their approach here: https://github.blog/2022-03-31-how-github-does-take-home-tec...