To put it very simply, these three pokémon have realized they’re all cats and have thus formed a clowder-pride hybrid. Furthermore, they have decided that while you are indeed the hand that literally feeds them, you are also a strange-looking and incompetent cat who doesn’t know how to persian/pyroar. They have thus taken it upon themselves to care for you like they would a kitten, and they may be confused as to why you’ve yet to understand how being a cat pokémon works, despite how hard they’re working to teach you.
It’s likely nothing to worry too much about unless the shiny objects are stolen goods and/or Leilani switches to live (or dead) prey. Then you may want to consider training them to tone down their lessons.