Same here, and even when I travel because of my work I need to be connected to the nearest Regional Server, but not possible and as I have friends on EUW and EUNE as well I have to either create a new user and again Rank it up so can be played good without having any of my old champions. Main account is on NA server which I have unlocked champs.
Deep Terror Nami we are taking about the feasibility of syncing the profile not the game to run across the servers. if your profile can be synced on every server that means your account is on every server and you can login on any server.
Match making , updates, patches, everything let it be same but i can add my friends across the server and can play with all of them together, as we all can login into one single server.
Just a request to the development team, try syncing profiles for every server. I am also a developer so I think this is possible i know to make it fast you will need a lot of space for syncing profile as all the data will be duplicate on every server but try it, this will help alot of gamers and lovers of LOL. will be truly appreciated