I read somewhere that the Disciplined trait affects that, tho I could be wrong. Does you sim have that trait?

Dragon Slave, one of the issues I had with most custom animations was how robotic they look, but not yours, it looks smooth and natural, almost like a real horse.

True enough, but the question is if it's posible to get abducted on a home business lot and yes, it can happen. Doesn't Summon Alien just have an even higher chance of abduction compared to the other options? So if you're really unlucky, you could still be doing it for days.

Yes, it is possible, and it really depends on your luck. My sims got abducted 3 times on a home business lot. First time was a sim using the Summon Alien ability for 6 sim hours. The second one was a complete fluke, I just had the servo look for UFOs with no intention of abduction and it happened within seconds, third time was with Summon Alien because the servo wanted to be abducted again and I wanted to see if it would happen, and amazingly it did, in about 2-3 sim hours I think.