There is a reason for this with cork. The two outsibe peices give you a landing for sanding everything level, otherwise you might end up with a slight bevel to one side or the other.
It certainly seems easiest, and it gives, in my view, a cleaner look, because any mess you (I) make is in the middle, underneath the frog and the center of the ties.
This photo shows two curved turnouts in a row. The track here is not nailed, just lying there for eyeballing my trajectory.
By dumb beginner’s idiot-luck, these turned out pretty well (hehe… “turned out”).
The scary part is trying to get one’s head around the unworldly curved receding angle created in the crotch of the turnout. Two pieces of cork, the inside of the “straight” and the outside of the “divergent”, approach each other with beveled edges and on a curve. They meet, and then something has to give, and there are several ways to do create the give.
Usually I chose to undercut the divergent so that it overlay the “straight”. Imagining – and then actually executing – this cut on the cork is like working in the Twilight Zone even on a straight turnout, but with the curve thrown it, everything seemed to be like guesswork, especially since the cork tends to want to straighten out when you take it over to where you’re going to cut it, so that allowances had to be made for stretching, etc.
I found this to be weirdly satisfying puzzle-fitting. I have a lot of turnouts over cork, and not all of them came out looking elegant.
Laying the outsides of the routes is what I have done in the past. As already mentioned, it lets mistakes on the inside sections be hidden a lot easier,
Ballast does hide a lot. Besides all of the reasons given in this thread, having the cut pieces under the turnouts means the joints are hidden. If the gaps are larger and it might take a lot of ballast to fill, another filler material like joint compound can be applied, sanded, and painted first.
That’s the other advantage of defining things with the outside pieces - any gaps that occur are basically irrelevent as long as you use joint compound. Plenty of room for error.