Actually, I just tried and I'm correctly able to connect to the store, now, so it seems that whatever was the issue, it has been solved.
Certainly, it wasn't related to East Asia: using a proxy service, I tried many IPs, China, Iraq and Korea (south) included, and it worked fine. It was only when I tried from an Italian IP. Moreover, the same happened to all my friends, with different browsers and internet providers.
Since the issue lasted for at least 10 days, and seemed limited to my country, I suspected that the CGL store might have been somewhat wrongly blacklisted by my local government (there was a big DNS ban wave on video/file sharing websites, on September, here, and I hadn't been visiting the store since June).
Or, maybe, it was just a technical issue, somewhere at a high level of connection between nations.
Anyway, all is well that ends well...