... so your uploads and downloads may be affected.
No, that will work fine. I played for a long time with only the base game registered at the site.
And when I first bought the game I played for quite awhile without being registered at all, you don't need to upload or download anything to just play the game.
All you need is to register
one of your games at the EA site in order to get an account, I assume you've already done that. After that registering the rest of your games doesn't really do much except give you registration rewards, if any, it's not necessary at all.
All it's really good for is if you should lose your serial number at some point. Then EA will be able to see that you do own the game and should give you a new code.