First, we talking true "drawer" fridge, or you do mean the chest style with a lid? I only ask because the options for drawers are pretty slim and I haven't seen any that are very big. They seem to be be built as something a yacht-builder would throw in a secondary galley or a truck driver might put under the seat for sandwich fixings. If you mean chest style, well then the world is your oyster.
Second, for me it came down to what fits.
I had an Edgestar chest style for several years. Constantly moved it around the van, trying to find the right spot. It was too tall to go under the bed platform, and too wide to fit behind the driver's seat without blocking the aisle. The issue was always the overhead height needed to swing open the lid. Eventually, I broke down and switched to a regular door-style in a custom cabinet, and it fit
my build much better. I was able to fit, in a smaller footprint within the van, the fridge along with a drawer and a lower cabinet to hold the porta potti.
I don't think there's a right or wrong answer, but sometimes a chest fits better or vice-versa.