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Is HDMI hot pluggable?
I just bought an Amazon HDMI+Ethernet cable. Enclosed was the following friendly node on yellow paper in various languages:

So far, I assumed that HDMI is designed to be "hot-pluggable". Is this just a "better safe than sorry, we don't want to get sued if anything breaks" kind of warning or is there a real, technical reason for powering down your computer and TV before connecting them?