I understand why you would think that, but this is not the case. Not a lawyer though, not legal advice.

There are 2 main types of causes of action for this, let’s go over them:

1. Conversion, unjust enrichment: Here, Legal eagle and other creators allege Honey took money that was supposed to go to them. Basically just theft. This does not apply to adblock, since they don’t take the money.
2. Tortious interference: Here they claim, that by removing the tracking cookie, they unlawfully interfere with the business relationship between the affiliates and the shopping platform. This could maybe apply to ad-blockers, but it is almost certainly superseded by the user explicitly wanting to remove tracking cookies, and the user has the right to do so. Saying that it is unlawful interference is like saying a builder hired by a land owner to build a fence is interfering with truckers who were using the land as a shortcut. They had no legal right to pass through the land in the first place. So the owner can commission a fence and a builder can build it. A contract between the truckers and amazon would not matter. In case of honey, it is like the builder was not hired by the owner and just built the fence to spite the truckers without owners permission.