If you have the Brilliant trait and take a spell mastery talent ASAP (both of which you should do as a beastlord), the chance to convert is almost 100% 
As a bit of an amusing story, in my most recent game I found my favorite map ever. Lots of cool stuff, quests, etc all over the place. I was playing an Adventurer sov witih Ridiculous opponents, and not doing very well - I landgrabbed way too much, had no army to defend anything, and if an AI had declared war, would surely have lost.
Eventually, the Spider Queen event popped, that spawned a bunch of special, extremely high level spider armies (corpse spider packs of 600+ hp) all over the place. I was a bit annoyed, since it seemed like that event was basically just a game over screen in disguise, since of course, all the spiders beelined my cities, and I had nothing to fight them with (still relatively early game.) Luckily I had the Freeze spell so I could at least delay them a bit, though I did lose a couple cities pretty quickly.
Then I finished a quest I was working on at the time. My empire was bloated, and my army terribly weak - just a couple spearmen, a sand golem, and a couple heroes. But, thanks to Adventurer, my fame was really high, so it popped a high level hero... who happened to have the Beastmaster trait.
After I finished fistpumping, a few turns and casts of Tornado by Bragni later, and I'm rocking armies of corpse spider packs, giant ravenous harridans, hoarder spiders, and even the spider queen herself. I'm not sure how I feel about it - it was fun collecting the spiders, but the game is over just as surely as it was before, only in a different sense - I went from the very bottom of the pack to double the next highest once I was done. Not sure if I'm even going to bother finishing the game now.
So, yeah. That event is a bit silly from either angle, and imo, the resistance to taming of a mob should scale with level or something. And that hero is a mite on the strong side 