I used a Highland's Turkey in place of the Direbeak Hatchling, and it worked with the strat above using Flock in place of Falcosaur Swarm. I had to Peck twice after flock was done, but the turkey survived just fine. Never used 3rd pet.
I had to make a change to make this work for me. My Direbeak is not as strong as my Sharptalon. It is at 325 power so I used it. . I ran: Black Claw, Ikky died Sharptalon came in with Swarm, doing 100 plus per hit first round, then 300+ 2nd round. I did not use Predatory Strike for my last round since they only let Direbeak hit him for just over 200 on the first fight. THAT seemed all wrong to me! I ran Swarm again and it only took 2 hits at 300+ to kill him. Thanks for the idea - that worked great for me.
Three turkeys (plain, Highland or Plump), all speedier than Pilfer, win the day. Using the same wonderfully-fun strategy from Foe Reaper 50 in the Dreadmines. First up Turkey casts Food Coma. Switch to second Turkey, cast Peck, then Food Coma. Switch to third Turkey, Peck & Food Coma, etc. Granted, it took 41 turns to complete the battle, but Pilfer never laid a finger on any of my Turkeys. While I wouldn't want to have to do this every day, it's sometimes fun to try something silly. Enjoy the game, folks!