I've never heard of a way to turn this off, or hide this feature.
It's something they added to be able to double-click on a clip, in order to have it open up for editing in Piano Roll, Staff View, Event List or Step Sequencer. But you knew that, right ? You just don't like having it there visible on the clips or something like that. I personally thing it's a great feature addition . . . but if you really don't want it visible, perhaps submit this as a feature request to have the option to turn it off.