No.
Thing is, animal pees or poops then the airline MUST be grounded to be cleaned and sanitized. Can’t see the airlines saying that is okay and taking a jet out of service is no big deal . .it IS a big deal and the airlines are likely worried about being sued by some stupid, weak minded, idiotic twit that insists they be allowed to bring on-board an animal for their own reasons, and to heck with everyone else.
People with exotic animals on a jet are selfish and arrogant, making it all about them and no one else.
Of course you’re right.