I don't do take home assignments, but when I did, I would offer to do it at my hourly rate, even if it was just an hour. It's time I would otherwise spend making money.
Anyone worth working with respected that and I landed several clients who forwent the assignment altogether. It's chump change in the grand scheme of things, and often a formality.
Does help that I have a very public web presence and portfolio, though.
Time is the issue, not money.
I couldn't care less about getting paid for a few hours, what's truly annoying when you're job hunting is the company having an extremely high rejection rate even at the take-home stage. That's an inordinate waste of time multiplied by a lot of companies.
If you have a >50% chance of rejecting, don't even give the candidate a take-home. Be at least 90% sure you want them before you get to that stage.
For many reasons, you’re not gonna get into Anthropic with that attitude.