A long time ago PETA asked vegans not to worry about small amounts of animal products in food. See
A Note About Small Amounts of Animal Products in Foods | PETA which is reproduced below:
Some packaged foods have a long list of ingredients. The farther an ingredient is down the list, the less of that ingredient is in the food. People who have made the compassionate decision to stop eating animal flesh, eggs, and dairy products may wonder if they need to read every ingredient to check for tiny amounts of obscure animal products. Our general advice is not to worry too much about doing this. The goal of being vegan is to help animals and reduce suffering; this is done by choosing a bean burrito or a veggie burger over chicken flesh, or choosing tofu scramble over eggs, not by refusing to eat an otherwise vegan food because it has 0.001 grams of monoglycerides that may possibly be animal-derived.
We discourage vegans from grilling waiters at restaurants about micro-ingredients in vegetarian foods (e.g., a tiny bit of a dairy product in the bun of a veggie burger). Doing so makes being vegan seem difficult and dogmatic to your friends and to restaurant staff, thus discouraging them from going vegan themselves (which really hurts animals). And we urge vegans not to insist that their food be cooked on equipment separate from that used to cook meat; doing so doesn’t help any additional animals, and it only makes restaurants less inclined to offer vegan choices (which, again, hurts animals).
Remember that every vegan saves nearly 200 animals a year from horrific cruelty—and by encouraging people around you to follow your lead, you can save many more.
As to the text quoted...I fully agree.
However, they are against pets. They are against service animals. I am not.
I think domestic animals are important. So much so that I doubt veganism would be a thing but for the fact they have been around for millennia.
I think service animals are incredibly important...
Dogs for the blind, deaf and with epilepsy etc.
Dogs for sniffing for explosives, drugs etc
Dogs for finding lost people.
etc etc.
I also think these animals need to be bred. Sure, adopt first if possible, but it isn't always possible...certainly not for service jobs...
Also, whilst I don't eat honey myself, I don't have an issue with it...not in a world where much vegan food is pollinated by professional apiarists.
Nor do I care about oysters, mussels and any other animalia with no ability to feel pain.
So essentially I am not 100% against "exploitation".
I am against cruelty, unnecessary suffering and use of animals for foods, clothes and other products.
So I am very pro "cultured meat", even if it means taking a biopsy...as long as any animal used is unharmed.
These things all go against vegan purity...