It has been shown that, under certain conditions, it is more efficient to resynthesis parts of a circuit rather than attempting to route the circuit using SWAPs (https://arxiv.org/abs/1904.00633). It would be nice if the Qiskit transpiler contained one or more passes that do such a thing.

In particular, I would like to implement the PermRowCol algorithm (https://www.qplconference.org/proceedings2022/QPL_2022_paper_99.pdf) as a compiler pass that re-synthesizes the CNOT blocks in a circuit.
Later, other passes could be added, such as the re-synthesis of phase polynomials (CNOT+Rz circuits) (https://arxiv.org/abs/2004.06052).