toller wrote:

....

It is a bad idea to put a 10a load on a circuit protected by a 30a breaker;
no one would argue with that except to be a jerk. The 1a clock on a 15a
circuit is not an appropriate analogy.
....

Precisely why for a physical reason do you think this is so?

The purpose of the breaker is to protect the wiring, not the device.

As long as the breaker is not oversized for the wiring, there's no
problem.