Also what if u use the same btc address all the time? Would that still be an issue? Or you have to make sure you dont use same address etc.
they being Shapeshift owners can keep records of every transaction so your litecoin or whatever address will be linked to your bitcoin address and if that bitcoin address is somehow linked to you then it is not anonymous anymore.
although you should remember that anonymity has different levels. you should first decide from whom you are trying to hide!
is it the average Joe on the internet because you want to keep your privacy or is it the government because you did something illegal? or many other reasons. for each of which there is a different way!