I was unaware of this page. I had the same idea and posted it in discord. I'll copy and paste here to keep this alive.
Limitations:
Pick up an adult animal but you must have a free backpack slot.
Can't pick up two or more adults.
The lower the generation the less time you have till they get away. Example Generation 0 boars attack you and sow wiggle out of your hands almost instantly. A generation 1 sow will be .5 second longer and so on. Same for other animals.
Piglets/babies are at your mercy, but Gen 0-2 attack you if you pick one up in a 8 block radius.