A lot of doggy people hold their dog treats in their mouths to have them handy during training . . . so an oatmeal-and-molasses treat is no big deal.
(I will carry bits of cheese in my mouth, but I draw the line at liver treats. Many people carry those around in their mouths . .. but I won't. I hate liver.)
Ack, I drew the line at that, too. Pig's ears! P.U. My late furbaby (dog) was spoiled with treats but I never tasted any of them, although the peanut butter cookies did smell good!
Of course, vice versa, she liked *all* of my food.