Can you connect lighting to the same duplex outlet as a clothes washer safely?

I’m doing a laundry closet redesign and as part of it, I will be adding wall cabinets and installing LED worktop lighting underneath it. There is a duplex outlet in the area with one outlet alloted for the washer and a free outlet. However, in an LG washer manual (the brand I will be purchasing) it states “do not overload the outlet with more than one appliance”. Is it talking about the one outlet specifically or the whole duplex? If my lighting is only going to draw 3.4 watts, does it really matter?