Temel Kotil said a lot of things that were simply not true, there is a reason all of his timelines changed one after another. Has T929 been delivered to army last year? Because he also said that after that abomination flew for propaganda purposes; and that's just the one that pops in my head, there have been multiple things he said turned out to be bullshit.
Also, whatever happened in WWII or Cold War doesn't mean it can happen now. Complexity of the engine we are building is not same as engines in those times and we are trying to design and build it with minimal previous experience. It doesn't matter how much money you throw at it, unless you're willing to risk watching your 100+ million state of the art 5th gen fighter fall out of the sky, you simply cannot hasten the process beyond a certain point, even if you accept using an underpowered version.
You cannot rush the manufacturing process for the parts, and the time it takes to perfect those complex processes. You cannot rush the thousands of hours of ground testing the engine has to go through, taken apart and put back together again and again. You cannot rush the tests it has to go through in the air, at different altitudes and speeds before it is ready for widespread implementation. And, you cannot just create the necessary workforce out of thin air, there is a limit anyone can be pushed. Beyond that point they'll either break or leave.