I found this picture, which is what I remember as being installed on my 2001.
I didn't give it too much thought when I had the carb off for cleaning, but now I'm thinking that perhaps there are NO internal coolant channels inside the carb, and the coolant just heats up that right angle block fitting, which, in turn, heats up the carb body by conduction. If this is true, the aftermarket design should work just as well, although the heat transfer characteristics of the alloy might be different, and the nipples will almost certainly be more brittle and less strong than brass. Direction of flow shouldn't matter at all, I would think.
I've read of people leaving the carb coolant connections disconnected on their VLXs and reporting no ill effects, but so many of us are fair weather riders, and that sort of external environment data almost never comes with reports like this.
The coolant lines are supposed to be there to HEAT the carb, and I'm thinking that heating the manifold is even more important, to prevent fuel condensing in there and causing uneven A/F ratios between front and rear cylinders with the single carb. One sees coolant lines to carbs and manifolds on a lot of diagrams for snowmobiles and ATVs which are definitely ridden in cold weather.