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It was more complicated that that. It took about half a dozen separate safety system failures to happen at the same time for the BOP (blow Out preventer) to fail on DH. A real perfect shitstorm.
The investigation found a fair few things wrong, but the overall capping method wasn't one of them.
I've kind of lived the industry response to that incident vicariously because it was such a large part of my wife's job for several years.
It depends on dozens if not hundreds of factors. Its extremely complicated.
The ability to turn off production has been a mandatory requirement for new wells a long time (decades I think) but accidents happen. Like Deepwater Horizon.