I haven’t been able to figure out what exactly is going on here. Rather than solving the measurement problem, these experiments just seem to be complicated kinds of measurements. (And that could be “measurements” in air quotes, since, depending on your interpretation of QM, it may be that quantum experiments often or even always just produce a value rather than revealing a pre-existing property.)
Edit: found this abstract that basically confirms my suspicion; these supposed quantum trajectories are fundamentally about continuously monitored systems interacting with their environment, but it is nothing other than standard quantum mechanics.
So it probably has applications, maybe important ones, in quantum measurement and computing, but its implications for quantum foundations or new physics are few to none as far as I can tell.
They made a prediction and they confirmed their prediction by catching that particle mid-transition. That’s promising.