There IS a way to get the trinket visuals off of gameplay screen. This also works at removing Bron’s Call to Action! Here are my macros that successfully remove the two above listed annoyances. Here are two of my hunter macros.
#showtooltip Kill Command
/petattack
/cast Kill Command
/cast [@pettarget]Claw
/cast [@pettarget]Bite
/cast [@pettarget]Smack
/cancelaura Domineering Arrogance
That bottom DOES keep the visual off of my screen. Next:
#showtooltip Multi-Shot
/petattack
/cast Multi-Shot
/cast [@pettarget]Claw
/cast [@pettarget]Bite
/cast [@pettarget]Smack
/cancelaura Bron’s Call to Action
Yes, it DOES keep Bron from appearing! 
Just make a macro to cast your spell, and search for the icon that matches your spell as I did so it looks the same. And, add a cancelaura with the spell name that bugs you.
Example:
/cast Cobra Shot
/cancelaura Bron’s Call to Action
This example cancels the spell aura every time the Cobra Shot button is pressed.
Change macro input as desired. Enjoy happy gaming!