If I download OSX Lion from the app-store, is that version linked to my account?
I don't believe that your Apple ID is embedded in the installer, it may be but if it is, it doesn't matter. I downloaded Lion onto my iMac and installed it, and copied the installer to my Mac Mini (offline only computer) and installed it as well no problem. This was right when Lion came out too, and I has worked perfectly on both computers since.