I see no problem leaving the critters there and doing an 80% water change, assuming you temperature/salinity/pH match your new water with what is in the display.
I also assume that you are able to do this fast enough that nothing dries out.
I would not do one that big. If it were me I would limit to 50%. As long as the swimming critters have enough water to swim they will be fine. The non-mobile will be fine as lond as you do not take too long. Make sure you match temp, SG and ph or you will have issues on a water change that big. I would turn off my lights to make sure you do not cook anything. Be warned you will get lots of sliming.