With enough encryption, obfuscation, and security-through-obscurity, you can make it extremely difficult to obtain those keys.

Companies like Microsoft, Nintendo, and Sony ship consoles that are the target of a very motivated black market/cheating industry, and it usually takes years before any serious leaks surface.

Well yeah but those are more hardened and also the keys alone is generally not enough because they are asymmetric. So the private part is kept somewhere on some HSM.