Price ceilings (even non-binding ones) can create market power for suppliers by providing a focal point for tacit collusion.
[0] Knittel and Stango (2003), Price Ceilings as Focal Points for Tacit Collusion: Evidence from Credit Cards https://pdfs.semanticscholar.org/3848/b5c04ae02c17c0b5135841...
[1] DeYoung and Phillips (2009), Payday Loan Pricing https://pdfs.semanticscholar.org/c587/58d243ad0653b052b1c77a...