Wouldn't super scientists, engineers, businessmen, salesmen or politicians be more useful to a state than a super soldier?
Looking at the economics, super soldiers are nearly pure loss. Nearly nothing they could ever do would be net positive on the balance sheet. They're even more lossy than just draftees, what with all the R&D, training, whatever sci-fi stuff they do to their spleen, etc. Maybe they could win a war faster? But the integral is likely to be more expensive all the same.
A 'super-X' would be best fitted for economic generators, not even economic savers. A super-garbageman isn't as good as a super-scientist, year over year.
Soldiers are by social role, servants of government. Super scientists, engineers, salesman, and politicians all present different threats and competition to government. Useful to a civilization yes, but government isn't a civilization, it's people who are clinging onto a bucking-bronco for power and safety.
And also every other country in the world has to opt to engage in the same conspiracy, otherwise all the benefits accrue to other countries that are willing to allow the technology to be exposed to civil society (e.g. when the average Chinese university graduate has the benefit of CRISPR super brain, it's going to add much more value than if Fort Hood has a bunch of Captain Americas sitting around).
In total this seems to involve a massive and sprawling worldwide conspiracy involving the coordination of opposing actors who have reasons not to coordinate in service of unclear benefits that don't seem to stand up to much scrutiny.
Most editing needs to happen during development, which means you’d need to recruit parents. Maybe some overly-moto idiots would agree but anyone who would seems like dubious stock for a super-human! Even if they did, there’s an 18 year lag before the kid maybe enlists. Then you’ve got to covertly move them to whatever speciality can use their new abilities.
The whole process seems slow, low-yield, and involves so many people [0] that it could not possibly remain secret if someone were trying this. And, of course, that’s all glossing over the fact that we don’t understand or know how to manipulate polygenetic or plieotropic traits…which is all the strategically interesting ones!
[0] For example, the school nurse flags something. Now what?