A road closed sign in the middle of the forest or anywhere else basically tells me that if I choose to proceed... I am on my own. Trees may be across the road or a mudslide might be ready to come down. There might not be any snow on the road but it's still closed.
When we camp hosted in the North Cascades... Rainy Pass parking lot at the Maple Loop trail head was closed. People drove in there around the "closed" sign to park anyway. There was a not-so-deep but kinda long snow bank in the middle of the parking area and when we went in our jeep... there was a small low to the ground car straddling across that snow bank with various car parts freshly scattered around it. Under that snow was a 10 foot long 6" dia tree branch. When the little car decided to gun it's way through the snow bank... it didn't make it.