Yes, but that dirty draw from the sump to the re-fill pump is sent to the tank, and tranny. If there is no oil in the tank, then you're feeding air to the main system pump that provides oil to the filter, and then the bearings. When it's started empty, or close to it, (not a normal dry sump condition) the tank has to fill, faster than it gets drained, or you get zero oil to the bearings...
Trust me, I've seen the oil light come on in this condition.