A typical "morals clause" reads thus:
>> f at any time while Artist is rendering or obligated to render on-camera services for the program hereunder,
Artist is involved in any situation or occurrence which subjects Artist to public scandal, disrepute, widespread contempt, public ridicule, [or which is widely deemed by members of the general public, to embarrass, offend, insult or denigrate individuals or groups,] or that will tend to shock, insult or offend the community or public morals or decency or prejudice the Producer in general, then Producer shall have the right, in its sole discretion, to take any action it deems appropriate, including but not limited to terminating the production of the program. <<
Or
here's a whole similar contract to what the Duckers would have signed. See paragraph 13 on page 15. See also section 8(b) and throughout, which makes it clear the Artist signs away all aspects of their "image", including who else they can(not) work for and what they can't do as long as they represent the illusion the Producer hires them for.
This is
TV, folks. Not reality.