Testnet 3 was made purposefully defective in a number of ways so it went a long time before anyone was foolish enough to pay much for it, but it just goes to show that if you make something fool proof nature will just create a bigger fool.
Testnet 4 was done in the same defective ways to an extent, correct?
TN1 was the only one that existed when Satoshi was still potentially around. So no, the thing you call testnet wouldn't be linked to Satoshi.
You say "potentially" like you think it may not have been Satoshi posting on his/their account asking people not to trade it?
It's pretty obvious that Satoshi was around for Testnet v1. v1 has obviously inspired future version as it should. Whoever intentionally left bugs or "features" in should probably reconsider that in some fashion. Agree or nah?