Well no, the intent is not to inconvenience others, but to not inconvenience yourself.

I love animals. Dogs, cats, rabbits, whatever. Love them all. I’m highly allergic to most of them though.

As a customer of an establishment, why do I need to deal with the animal that belongs to another customer of the establishment? And I’m not being a jerk. I’m not complaining or making a fuss, but if I’m trying to buy toilet paper I shouldn’t need to worry about hair, dander, or if somebody’s dog is well behaved or not. I am the one being inconvenienced, and there doesn’t seem to be a good reason for it.

That goes to the point of the comment you replied to. And to your point, if nobody else is being bothered… Are they checking if others are being bothered? Usually not. That’s a generalization but I can say in my experience it’s true more often than not (and I notice when it is). I’m not saying to ban pets in stores, but it should not be the norm and expect others to just deal with it.

Barring animals from places that sell food is not arbitrary and capricious, it’s a safety issue.