I had a blowout about two weeks ago at 65-70 mph, was on a curve at night so I drove another 1/10 mile or so. My tire looked nothing like that but then again some people's definition of driving "a bit" may be substantially different from mine.
BTW my view on road hazard insurance (at least what Tire Rack sells) is that it is far less than what you think it is. I got a plug done a year or so ago-they paid only $25 (maximum coverage). They will cover only the damaged tire, even though you must replace at least two. And the documentation they require is really obsessive-you have to put them on notice before you get the tire replaced or repaired, for example.
Not-so-fun-fact: Apparently you can no longer buy new donut spares. This is crazy in my view. After driving since the early 70s with maybe 1-2 flats before the donut was eliminated, I've had two puncture flats and one blowout in my new car(Nov 2020 purchase) where all I have is a can of sealant.