Right, well mine does. I hit any 90 degree onramp at speed, lift throttle mid corner, and that booty is coming around every single time with ESC off. No flick and I could be doing 20mph. I have a stock suspension 2017 FiST, which is very different from your 2014 with modified suspension including a rear sway bar. Anyways it's nothing to get mad about, and I'm not necessarily saying it's faster either, it's just different, and it does change the way I drive my car. I can sometimes use that lift throttle to get the nose pointed where I want sooner when coming out of the corner.
That being said, however you make that turn happen, it's not going to change the reality of peg leg wheel spin with the open diff once you're back on the power, especially if you're making a lot more torque than stock. An LSD is the clear answer. For me it's prohibitively expensive and at that point I would be committing to owning the car for a long, long time, which I'm maybe not ready to do even though I've already put in $1,500 in less than a year.
To the OP
@zeddzik, if you have adjustable coilovers, you could try stiffening the dampening in the rear one or two clicks. It should have the effect of reducing that rearward weight transfer at exit and help put power down. Just an idea that's worked for me on other tuned FWD cars I've owned.
Last thing, I'm running e30 and making an estimated 290 lb ft of torque. My car is no point and shoot brute, but it's also very different from a wheezy little N/A Miata.