John,
Your experiences are in line with mine in that a flat tarp pitched in an A-frame can actually keep one dry in a surprising amount of weather conditions.
When I lived on the east coast, I would spend my summers backpacking in the Appalachians where it rains quite often. Windblown rain was a common occurrence. Back in those days, I was single, and did all my camping in a 9' x 7' flat tarp coupled with a hammock. This setup weathered everything from light rains to the remnants of tropical storms (literally) that had made landfall.
I never got wet, and the ventilation was unparalleled in comparison to more "closed" shelters. If it was really rainy when I got into camp, I would set the tarp up at a low-angle pitch and cook under it and relax (there are usually almost no flying bugs to pester you while it's raining hard). Then I'd lower the pitch to a steeper angle to weather the night.
I think that using a flat tarp while sleeping on the ground would be much the same, but with a bit less ventilation because there isn't a big opening under you at all times.
Since my younger days rambling around the Appalachians all summer, I have gotten married and thankfully have a wife that always wants to go backpacking with me. While wonderful in it's own right, it has been a challenge for me to go from sleeping solo in a hammock to now trying to figure out a two-person sleeping system that works for both my wife and I (spoiler: hammocks are not it).
We currently use a TarpTent Double Rainbow, but we haven't had to use this setup in very rainy weather yet (PNW summers are wonderfully dry).
I am tempted to try going back to a single flat tarp for both of us. The challenge for me is to figure out a system that keeps my wife happy and away from the bugs, while still leveraging the lightweight, ventilation, and flexibility of a flat tarp.
I still haven't settled on anything. The SMD Haven Tarp + NetTent looks like a good option, but you sacrifice the flexibility of a flat tarp for the convenience of a single, optimized setup. I haven't made up my mind on whether this is worth it or not.
Let us all know how you like the Haven after some more use!