I would say INTJs are excellent for that job. It doesn't require a lot of feelings, as long as you don't actively hate the animal. In fact, I would say that you'd probably be best at it if you didn't care too much.
The job I had to do that was worst for an INTJ was to be a options trader. Now, there are many ways of trading options, and at that point, it involved calling aggressive French brokers, or seductive Scandinavian ones, and providing markets and trading literally million of euros worth of very risky stuff with a 5 second time to think. I only did 2 trades, one was a wash, the other was the trade of the year...
After a month, I got transferred to algorithmic trading (telling a computer how to trade with other computers), which is IMO the perfect match for an INTJs personality.