"SO, how about a nice tent fly gutter & downspout system to control where the rain runoff occurs. "
It may be a humorous thought, but experienced tarp user already do this. For example if there is a spot where a tarp drips in a pinch you can attach a (drip) line and arrange for the water to slide down the line somewhere else harmlessly.
I don't want to make an absolute statement about the products without knowing for sure, but I believe, for example, the surfactants you buy for the inside and outside of you car windshield are different. They are certainly marketed that way.
The gunk you put on the outside encourages big droplets – hydrophobic (neutrally polarized electrically). The droplets don't stick, and roll off easier when it is raining. On the other hand the stuff you put on the inside to prevent fog I suspect are hydrophilic. In this case at the surface the condensing water will tent to spread flat, this increases the surface to volume ratio and so should make it harder for drops (fog) to condense. Although it this is the case it would have to be only just hydrophilic enough I suppose. The effect can cut both ways. By analogy, if you spray or otherwise treat the inner surface of a tarp with such an "anti-fogging" surfactant, it might improve the condensation problem.
I don;t know if anyone has experimented with this much, but it likely would not work with anything formulated for glass.
It also could depend on the shelter design as in some case the whole strategy would be to have the condensation slide harmlessly to the side a la a Hexamid with a screen (or no) floor. In a case like that a hydrophobic surfactant might work – though probably not I guess.
In the case of breathable fabrics you would probably heavily mess with its properties by applying anything ling that.