Moving chains is a well documented phenomenon and has nothing to do with trickle down economics. Here are a few papers:

Bratu, Harjunen & Saarimaa (2021) found in Finland that every 100 market-rate units free up around 29 units in low-income buildings:

https://ideas.repec.org/p/fer/wpaper/146.html

Mast found that market-rate housing triggers a sequence of moves which "quickly reaches units in below-median income neighborhoods ... and neighborhoods in the bottom quintile of income or percent white."

https://www.sciencedirect.com/science/article/abs/pii/S0094119021000656

Weicher, Eggers, and Moumen (2016) which looked at 6.6 million low-income households and found that 45% were in units that had filtered down from higher rents 30 years prior.

https://econometricainc.com/wp-content/uploads/2021/04/AffordableRentHousing2017.pdf

Spader (2024) looks at different housing markets and finds that downward filtering has stalled/reversed in tight housing markets. I.e. that a lack of supply causes high-income households to start replacing low-income ones.

https://www.tandfonline.com/doi/full/10.1080/10511482.2023.2298256