Point of having new and capable 4th, or rather 4.5, gen planes is not to have them go against 5th gen planes. 5th gen planes are expensive to produce AND to fly, that's why even US and China is still buying/producing 4th gen planes. When US air force asked the Congress for permission to retire 150 aircraft, neither F-16s nor F-15s were included in that list. You don't need to use an F-35/J-20 for every mission, sometimes an F-15 or J-10 does the job just fine. Why put extra hours on the engine and the frame unnecessarily, and for a high price? Smaller nations that barely have an air force worth mentioning might transition all the way to 5th gen but for nations that have to have a big air force for diverse missions it is neither economical nor logical.
Hürjet is a year or two away from starting its production as a trainer. There isn't even a proper light attack configuration yet, let alone a naval version. It isn't even a naval aircraft, there are multiple parts/systems that would have to be changed for it to be one. And TCG Anadolu itself would have to go through major changes to be able to use Hürjet, hell as it is, it won't even be able to use KE.
And all of these doesn't just take money, it also takes time, resources and manpower. What makes you think that only thing slowing down Hürjet and Özgür project is money? You are making a lot of assumptions based on nothing but it'll all be faster if we just throw money at it. There are only so many designers, engineers and technicians with different expertise that can work on these projects, just as only so many companies, which are also handling other projects.