We can discuss definitions all day long, it won't make too much difference.
When OP asked about "email spam traffic", he meant unsolicited, non CAN-SPAM complaint mailing, which is not legal, therefore not allowed with the vast majority of offers, hence he's asking. That's what spamming means and always meant on a blackhat internet marketing forum. The kind of mailing, which can get you in trouble with the network, with the law or with both.
The public mailing section was removed from BHW long time ago for a reason...
What you were doing is not spamming, it's CAN-SPAM complaint bulk email marketing, which is perfectly legal.
The main issue is that definitions are getting mixed not just in your head, but in that quote from the court you posted too. They use the term "spam" as a synonym of commercial email and bulk messaging, which is obviously not right. Not too big of a surprise, courts often doesn't have too much clue about things related to the internet. Spam is the type of bulk mailing, which is illegal. Bulk mailing is a broader term and there's a legal part of it and that's exactly what you were doing, but that's not spamming.
And we're back to square one, that your definiton of spam is wrong. Saying that spamming is legal is a bad advice and will only make OP lose his earnings or his account on the network.
CAN-SPAM compliant bulk mailing is legal, spamming is not.
The first result that pops up in google "
Whether a message is spam does not answer whether it is illegal. In fact, SPAM IS LEGAL in the United States. That is, whether your email is solicited or unsolicited, and whether it is highly targeted or not, have nothing to do with legality under U.S. law.May 19, 2020"