It also encourages tests that do too much. If the test is named "test_refresh", well, it says right there in the name that it's a test for any old generic refresh behavior. So why not just keep dumping assertions in there?
I'm much more happy with names like, "test_displays_error_message_when_refresh_times_out". Right there, you know exactly what's being verified, because it's been written in plain English. Which means you can recognize a buggy test implementation when you see it, and you know what behavior you're supposed to be restoring if the test breaks, and you are prepared to recognize an erroneously passing test, and all sorts of useful things like that.