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That makes sense, and I think it literally just is the Deustchian model at least according to this source. It's been a long time since I read the original paper so I guess I misremembered it as a slightly different thing, though further reading suggests this might be a flawed explanation of his own theory, so I'm just thoroughly confused now haha.
I can think of a number of problems with how it would work, depending on the way you set it up it could result in something like "wormholes" to the future just randomly opening up constantly and everywhere just due to the way probability works. There are certainly a lot of interesting mathematical phenomena that arise from time travel like that.
If that model results in wormholes randomly opening up here and there, it doesn't necessarily mean it's going to violate our current observations. What if the probability of a wormhole event is incredibly unlikely. You know, like a tennis ball tunneling through a solid wall sort of unlikely. Even if the probability is a lot higher, those wormholes could open up anywhere in the universe, which just so happens to be incredibly vast. Or what if the wormholes are absolutely tiny, and last only a nanosecond? There are lots of ways it could still be compatible with observations.