OP I've owned both yo- and wa-handled gingas, and several takamuras (all yo). Both knives cut very well because of the laser grinds. Basically, I think you can decide like this...
1) If you want a wa-gyuto because you prefer the feel and asthetics, you'll obviously have to go with the ginga, since takamura doesn't make a wa-handled knife in its r2 migaki series. There is a very rare takamura hana/uchigumo that has a sort of hybrid wa-yo handle, but good luck finding one. It would probably take you a year to track one down and it would be extremely expensive. So, again, if you want a wa handle, it's a no brainer to go with the ginga.
2) If you want a yo-gyuto, the main difference between the ginga and takamura IMHO is the balance point. Both the ginga and takamura have a full-length tang, but only the ginga has a full-height tang. The tang on the takamura does not extend through the full height of the handle. In some contexts, such as for a heavy use outdoor knife, the lack of a full-height tang might be considered a drawback because of a potential lack of structural integrity. This is not an issue at all in a chef's knife. You will not be using your gyuto to baton through hardwood. You will be cutting food. So, that said, what is the effect of the difference in tang construction when it comes to a chef's knife? Say it with me: balance point! The takamura has less weight in the handle, and, therefore, comparatively more weight in the blade. This allows for a more blade-forward balance, and, in my opinion, a superior "feel" in cutting performance.
That said, I recognize that some users have felt that the lightness of the takamura lends it a sort of toy-like feel compared to the ginga. I think these users are likely responding to the fact that the ginga's full-height (and length) tang gives it a more robust feel. Fair enough. But I think that the difference in balance point more than makes up for this phenomenon. I've also never personally felt that my takamuras seemed like toys. To me, the takamura wins this comparison.
But, bottom line, both are excellent knives and you'll likely be happy with whichever you choose. If you get both to compare, you'll probably also be able to sell whichever one you decide not to keep, here on BST. BST is a bit slower these days than it used to be, but the ginga and takamura are both very popular knives, and you'll probably be able to sell either with a bit of patience and an enticing price.
Good luck and enjoy!