My 2 cents: it's a bad idea because it's hard to test / debug.

C++ template / overload resolution involves some very convoluted logic. And it can take some work to even notice if / how it went differently than a programmer expected.

Programmers typically have logging, interactive debugging, etc. to investigate complicated algorithms like this. But (almost?) no C++ compiler provides such tooling for investigating the behavior of this algorithm.

IMHO it's an area where C++ tooling could serious use improvement.