What year evinrude do you have? If its premix, if the carb is not getting fuel and whats left in the bowl dries up, all that will be left is a small amount of premix.
If its injected, the oil is injected after the carb but when you tilt motor at the end of the day, a vro system that bleeds out will send oil down the throat of the carb and run some into the bowl. Do you get any oil on the inside of the lower cowling? I have an 01 ficht 200 that bleeds out because of a bad pump. Thats the ONLY problem I have and been using it for 2yrs that way because it going to be a mother to change. I stuff an oil absorbant mat in there and just change it out so it doesnt run outside the motor. I dont get any smoke because I dont have fuel bowls, their more like throttle bodys.
I had an 83 200 carbed, non oil injected (premix) for 20yrs and this 01 for about 3yrs. Never ran them out of fuel, just turn the key off.