@BurnYaBadCome on, that's not fair to EA. There is 0 evidence to support that claim. If anything there is plenty of evidence that supports the contrary.
For starters EA is a publicly traded company. They have to report their earnings and sources of revenue every quarter, in a nut shell that would make it very difficult to hide something like that.
They are not desperate for revenue. I watch the EA stock and have debated buying some. Their profits are growing and at a great rate. They are not hurting for revenue or cash. If they were, there are other ways they can make money. Such as pay-to-win, amongst other things that are not hugely popular with the gaming community. If they really wanted more revenue they could simply add some type of aimbot/wallhack as a pay-to-win feature. That would completely eliminate the third party and allow them to keep 100% of the revenue/profits from it.
Now look at the potential negative impacts of doing something like what you suggest. If they were busted doing what you suggest, it would absolutely destroy their reputation in the gaming community. Reputations mean everything in the gaming world.
The people who develop the games, especially top game devs would not want to see that. They want popular games. They want to see their hard work and ideas succeed. They care about cheating and ending it as much, if not more so than you and I.
The issue with cheating today and all gaming companies are dealing with it. It's going to be a constant battle, it's complex.
Blockchain uses are more focused on contracts, ledgers and keeping logs.. Fairly confident it could be used to end cheating in video games, it would already be in use today.