No. Were that the case he could go raid anywhere. He specifically needs to "be good" while raiding with a group of people he is only raiding with because he's getting paid to do so.
This really is not a hard concept that it should need people explaining it you...
Provides the service of helping a weaker group to defeat raid encounters that otherwise would either require significantly more effort or even be beyond their capability, often in exchange for some form of payment. When that payment is real money it goes against the Eula.
You left out the most important part: participation in said raid. As I said, he isn't being paid to simply exist, he is being paid to do a job.
Method players are sponsored. Paid "carry Raiders" are employed.
I get that the difference is lost on you because they both involve giving money to players for playing the game, but that is where the similarity ends. They are certainly not the same thing.
From Wikipedia:
"Sponsoring something is the act of supporting an event, activity, person, or organization financially or through the provision of products or services. The individual or group that provides the support, similar to a benefactor, is known as sponsor."
"Employment is a relationship between two parties, usually based on a contract where work is paid for"
That's a contradiction. A "carry raider" is a raider who is significantly better than the group he is in, thus enabling them to achieve outcomes better than they are capable of. "Carry raiders" essentially compensate for those who cannot pull their own weight.
In Method their team consists of peers all of whom pull their own weight.
Yes, every player in Method is strong enough to be a carry raider for a sufficiently weaker guild. But within the context of their own guild, none of them are.
Getting sponsored in the game is not against the Eula.
Being a "carry raider" in the game is not against the Eula.
But being a "carry raider" in exchange for real money is against the Eula.