So basically all the 6 tests which India conducted are for design testing and yield comparison. Now when you have proven design, you could carry out simulation without doing the real field test.
Yes, you don’t need to test the same design again which was proved already.
However, the main purpose of simulation is providing assistance in new design. Simulation is kind of summary of the existing knowledge about nuclear explosion, which is only gained through a series of real tests. By changing the experimental condition, combination of nuclear material, or even the structure/shape, you can accumulate your knowledge and rich your theory about nuclear reaction, which in return will be added into your simulation model. The more real tests you go through, the better the simulation will be. Any university physics student can design a nuclear simulation program, but of course their designs are simply useless in reality-there are too much details missed.
Now if you compare what US and Russia did in cold war era, the maximum tests were carried out to study the effects rather then the design. Moreover it was a race to establish one above another rather then carrying out scientific study in most of the cases.
No, the maximum tests were carried out to study the nuclear science, to improve their scientists’ nuclear physics theory which is the basis of the new design. Only a handful tests were made to boost their reputation. But these tests are the one receive most of public attention. That is why you have the impression that most of nuclear tests were for the purpose of propaganda. If you check the nuclear tests of each P5, the number of nuclear tests by each of them reflects the number of type of nuclear weapon they ever built.
In case of US, the had dropped a untested design over Hiroshima rather then the plutonium device which they tested under Project Manhattan.
The bomb dropped on Hiroshima was gun-type bomb, a very basic design. After the implosion device – gadget (more complicated) was tested successfully in July 1945, people had no doubt gun-type would work as well, just didn’t know how inefficient it is.
As far as thermo-nuclear test of US and USSR is concerned, you might be aware that US had carried out the first test, but USSR did tested the first practical device. So its basically the design study rather then tests which would give you a practical weapon.
USSR’s first thermos-nuclear test was carried out in 1953 with a layer-design which proved to be a bad idea. Within several months, Russian scientists came up with a brand new idea – “Sakharov’s third idea”. The rumour is they got the help from US again.
India does have the know how to create the bomb or design it. What is important for us is to study the design to enhance the yield. Now this could be carried out through simulation. One doesn't need a number of tests to verify it if you have a strong simulation program.
Where does your “strong simulation program” come from? What is the basis it is built on? Your knowledge and understanding about nuclear react! Where do you get these? I can guarantee you, you won’t find them in any textbook. Until today, all you can find is some rough and misleading description, the majority of details are still classified. Your scientists can only learn these knowledge through the observation of real tests.
And you got one thing wrong, simulation doesn’t replace real test completely. It just help in checking a part of your design and find the fault based on existing knowledge, but in those unknown areas such as new material, new component, it works based on your assumption. Whether your assumption is right, you still need real tests. The more assumptions you have, the less accurate your simulation will be.