I'd recommend sending it as feedback using the "Feedback" link at the bottom of the left navigation column. I agree that it should be less intrusive, especially if you just want to copy/paste. They could make it smaller, or hide it when you're not signed in, or have a cookie preference to toggle it on or off.
As a workaround, if you never use the annotation menu on the website, you can hide it by adding this to a user stylesheet in your browser:
Code:
.LDSORG-body .callout-EaEKb {
display: none;
}
Alternatively, you can just hide the "sign in" section of the annotation menu:
Code:
.LDSORG-body .signIn-215_y {
display: none;
}