This failed repeatedly with an S/S Fox, but did work with an S/B Fox. You should probably update the pet info, as the Fox probably needs >264 attack, otherwise you're likely at the mercy of Flurry hitting three times consistently.
It also fails with a P/P Fjord Worg Pup, even though it has 325 power. 260 speed wasn't enough, as he was still slower with Dazzling Dance (at 325 speed) than Shadeflicker. So the fox needs >264 power and >261 speed.
I tried this strat as it appears, and it didn't come close. Alpine Foxling Kit only got two Flurry attacks in before dying, then my Zeppelin immediately got swapped before it could do anything. It's possible that the foxling kit took a large hit which threw things off.
I tried a different fox with a different breed and didn't have any better luck. I tried with the B/B foxling kit again and got a little closer, I might have beaten him that time if Flurry had hit once or twice more.
All in all, this strat probably works, but there is definitely some RNG to it. And there's no reason to use a strat with even a little RNG if you don't have to when there are other strats available. (Apologies to those without an Unborn Val'kyr.)