Not to persuade you one way or the other as I quite like the chat bubble 
, but just as an FYI - you could add that CSS snippet to just the Desktop tab of a theme component to hide it on those and leave it on Mobile. 
Not to persuade you one way or the other as I quite like the chat bubble , but just as an FYI - you could add that CSS snippet to just the Desktop tab of a theme component to hide it on those and leave it on Mobile.