AFICT, very few, if any, will "pass through" multi-channel audio to their digital outputs. Unless the audio comes from it's internal ATSC tuner, many are converted to two-channel.
I'd recommend still connecting the sources to the TV via HDMI, and run a separate digital audio connection to the receiver.
Use the TV to select video and the receiver to select the audio.
One benefit from this hookup is that you won't NEED the receiver to watch/listen to the source if you don't mind it's internal speakers. Just turn the TV's volume all the way down when you want to use the receiver.