Yes.
That violates Kirchhoff's Law.
If that wasn't so, (and the shiny ball DID absorb heat slower), I'm pretty sure you could make a perpetual motion machine.
You mean you wouldn't be able to make a perpetual motion machine because there would be no thermal gradient that could be used to do work.
Kirchhoff's Law
What do electrical circuits have to do with infrared emissions?
https://en.wikipedia.org/wiki/Kirchhoff%27s_law_of_thermal_radiation
Basically. an object cannot radiate more or less heat than it absorbs.
Quoting your wiki link:
it had been experimentally established that a good absorber is a good emitter, and a poor absorber is a poor emitter. Naturally, a good reflector must be a poor absorber. This is why, for example, lightweight emergency thermal blankets are based on reflective metallic coatings: they lose little heat by radiation.
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