I have a couple of different thoughts about slots and drains.
It would make sense to put the slots down if you were trying to prevent an overall increase in water for the entire site. That way if the water level rises, it will flow down the drain pipe and into a sump or outfall area. It seems like this is the prevailing method in this area anyway.
Secondly, if the groundwater level isn't high and probably would never increase to the foundation level, it would make more sense to put the slots up than down. For structures in this type of environment and especially clayey, swelling soils you essentially create a bathtub where you excavate the foundation. The excavation is backfilled, but still the backfill area will have a higher porosity than the very stiff unexcavated clays thus creating a bathtub for the structure. Assuming that the groundwater level will not increase to the foundation level the major concern would be surface water getting into the backfill area. Usually this surface water will not inundate the whole building at once, unless you have a big flood, then it's a different beast all together.
So if you get isolated areas of the drain with water, you would want the drain to catch the water and "drain" it away from the rest of the structure. If the slots are put facing down, the drain would still catch the water, but then whisk the water along the foundation and then the water would leak out of the slots, thus saturating a perfectly dry portion of the foundation. If the slots are put facing up, they will catch the water to, but the water could flow all the way down the drain pipe to the outfall without ever leaking out.
So anyway, I think the best advice for the question is to talk with the geo engineer and see what his thinking was for the drain. He's really the only one who understands the project, the soil conditions at the site and most of all his reasoning.