That conference last week further proposed bringing asteroid-bits into cislunar orbit. Joel Sercel has a map. I think the idea is to pull it to STL2, then yank it at the moon, which - by the Jacobi keyhole - ends up flung into a high Lunar orbit. That can touch upon various Earth-Lunar cyclers, the 3:1 being illustrated here.
This fits well with another thesis mooted a few days ago, on Galactic-Solar Lagrange; from the "space journal of Asgardia" page 72. I vaguely recall some skiffy about that maybe ten years ago. Assuming no nearby other heavy stars, our gravity meets the Galactic Core's gravity at 3.8 ly. During those periods, a slow moving body even up to Jupiter mass should be able to slide into a long-period Solar orbit. Which, if eccentric, will pose Problems.
To be sure, this is not one of those times. The Alpha Centauri system is something like twice our system's mass which means our mutual balance is a good deal within 2 ly of us, which should swamp our L's. But - stars move around all the time. Between the Scholz flyby 60skBC and 20kBC, we didn't have anything special near to us. Anything nabbed in L1 or L2 could be on its way toward us, still.
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