NO! (Sorry for being direct.)
That is exactly part of the problem: It is called “global”, but what it actually does, currently, is lock the client into the local country zone.
I guess the naming “global” comes from the fact that it can be configured anywhere on the world, and will give you servers. And the intention is that it will give you servers that are “close”.
But the way it is currently implemented is that “close” means “from the same zone only as the client” (as best as the system can determine the zone the client is located in).
For details, see, e.g., this post, and the materials it refers to.