It’s attached by two “leashes” and if you yank it a bit the other rips off making it pretty much what you described but it’ll still tangle all over your face when you try to drink straight from the bottle and also now you have the sharp bit poking you every time you screw and unscrew the cap. This is not the only design we have. I just happen to shop at LIDL and their bottles are all like this. Some other designs are slightly better.