Of course, that won't work if you want to receive from several channels in the same goroutine. For that you can use select with receive assigning to two values and the second one is set to false if channel is closed.
So, I never really had issues on receive side, I agree with the send side, though. The solution I used when sending from multiple goroutines is to wait for the senders to be finished in the "main" goroutine and only the close the channels.
But yeah, it does require some thought to be put into how this is all organized.