Googling Digitech 5x1 switcher (since you didn't mention model numbers) for me brings up Jaycar Australia link and that says it's been discontinued and replaced with a new model, so maybe it's just a junky / badly designed switcher? Coloured snow is indicative of a handshaking issues, have you tried the DVD player different inputs (since it seemed to be the one complaining)? What about other hdmi sources like a computer or console?
Jaycar generally discontinue things when they find a cheaper option, they can sell for the same price

The DVD player has the same effect on all inputs, it works fine connected directly to the TV. Other devices will result in similar issues through this switcher.
I'm using the switcher to connect a mini PC, Blu Ray player, DVD player, and Raspberry Pi.
I believe I have found the fix, but I'm still wondering if anyone can diagnose the issue.