In theory a system can be designed where the people in group 2 don't encounter animals when they fly. As a person with flight-relevant allergies, namely peanuts, I've been happy that many airlines are moving towards other snacks, and I don't need to insist that every single airlines does as long as I have reasonable options.

A system cannot be designed where people in group 1 don't encounter anxieties when they fly.

So, from a pure, amoral optimization standpoint, it's better to have a system where people in both groups can fly than one where people in only one group can fly.

(Which I think is the position you're advocating.)