What do you think about spontaneous collapse theory?

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Measurement problem as solved by Ghirardi, Rimini, Weber in 1986 paper basically replaces the Schrödinger wave equation with a stochastic equation. Does this fuck up the linear algebra which allows superposition to explain interference? If no, why not?
What are other problems with this theory so that physicists like Sean Carroll don't consider it as plausible as many-worlds interpretation?