How can I display a div ONLY if it is not a certain term page

I believe you are looking for is_tax()and not has_term(). has_term() just basically checks if a post belongs to a given term, while is_tax() on the otherhand checks whether or not you are on a taxonomy archive page.

So, you can change this code

if ( !has_term('juice', 'types' ) ): 

to

if ( !is_tax( 'types', 'juice' ) ):

This simply means that if the current taxonomy archive page is not of the term juice, do something