Oh, take homes are fine without the interviewing numbers game. They just break when you do that.
Many of the take homes I encountered also had rapid turnarounds. I would have 48 hours from Tuesday afternoon. A couple of times I was up at 3 in the morning as I had two of them due and had to abandon one of them as I just couldn't stay awake longer.
In hindsight, I should have realized the folly of that earlier, but I was eager to get as many paths going as possible.