I know every incident has different circumstances . . . .
I've had rear blowouts with & without a trailer. Had 3 rear wheel nuts back off once & the 2 studs snapped off & let the tire roll around in the wheel well before it worked it's way out & passed me.
With all of those instances, minimal steering input was used to keep things straight.
With the trailer, all that happened was a LOT of noise & the rear corner of the suburban dropped some, but otherwise it was a non incident.
The worst was when the wheel was rolling around in the wheel well, there was lots of wiggle from that
, but still minimal steering input.
We had a car that the rear axle was out of alignment (rear tracked 2" off the front). With that car, if you ever locked up the brakes, you were going for a wild ride as a spectator only.
I'm thinking it may be the initial over correction that causes so much steering input. Could be a misalignment issue too . . .
When the crap hits the fan, I usually try to decide which way & how far to go before I start moving.
Maybe it's because I have lots of practice driving back off the shoulder of the road . . . .
Maybe It's because I paid attention in all those vehicle dynamics classes. . . .
OR, maybe I'm just lucky . . . .