When I do a take home I have access to google, StackOverflow, etc. I can spend 15minutes on it, then pause to do something else (while I still sort of think about the problem), get back to it for 30 to 60 minutes, rinse and repeat. Which is exactly how I work in real life.
Take homes can actually be compiled and executed against a test suite for correctness.
Take homes tend to be more realistic exercises than balancing a f-ing tree or walking some idiotic graphs.