Well, you can on PC at least. Xbox and Playstation security has matured to the point that code modification in online games isn't really a thing anymore, the worst they have to deal with is controller macros most of the time.
1) The bootloaders chain of trust has never been broken, which means you can't upgrade from an exploitable version N firmware to a non-exploitable version N+1 while persisting a backdoor like you could on older systems like the PS3. You're stuck at version N until another exploit is found.
2) They rotate the crypto keys used for online play with every new firmware so they can easily lock those old exploitable firmwares out of online play for good, even if they try to spoof their version number.
Meanwhile the Xbox One took a decade to get even a limited jailbreak that allows arbitrary code execution inside the game sandbox, but can't escape the game sandbox to take over the kernel, and the Xbox Series systems have yet to be jailbroken at all. Hypothetically being able to break anything with physical access doesn't count for much in practice if the thing you want to physically attack is buried inside a 7nm silicon die and doesn't trust anything outside of itself.
Me with a pen and paper exceeds many human capabilites.
Likewise with wearables like a smartwatch.
Does it have to be direct neural integration to be a cyborg? Definitely people with profound brain injuries have been enhanced to the ability to interact again.
But if we have to define a criteria... I guess, integrated just enough so it can't be trivially removed, making it more of a "body part" rather than a "tool".
Point is, it'll certainly spark a discussion and re-evaluation of what's "fair", potentially shifting the consensus from somewhere around the current "glasses are fair game, but a programmable mouse is not" to somewhere more accepting of differently-abed individuals.
When you have software running locally, you can arbitrarily modify how it runs.
Like an aimbot is a powerful cheat, and there's no amount of security that can prevent one from being used outside of an anticheat being able to look deep into what your system is doing, what it contains. The only way to prevent that kind of thing is to remove your control of your own computer.