Can India develop the technology to make afterburning engines? How hard did it try with Kaveri before the engine was shelved? If the metallurgy required for an afterburner is very demanding, I imagine that it could benefit the hot section of Kaveri, too.
People like to blame others to avoid their own part of problems, scientists are not exemption. As the designers, your job is to design the product based on the material available not some super materials which US or Europe has. Didn't Indian designers know that Indian materials wouldn't match world class level from the beginning. If they knew, why didn't they consider that in the designing stage?
Even if the other departments failed to provide the super metallurgy promised, why don't these designers modify their design to accommodate these shortfalls? There were plenty of examples that Russian and Chinese designers had to change the design due to the delay of other departments.
Just look at Chinese WS-10, it was a copy of CFM56 in the beginning, but in the ground test, some components cracked due to the insufficient strength of the metallurgy, they re-designed it to WS-10A. Then in the testing stage of J-11A, some of electronic parts wouldn't sustain long enough, they again changed the design by copying Russian engine's structure in the afterburner. So, finally we got WS-10B which has both CFM56 and AFL31 features.
PS What stops India finding people in Russia, Europe or US who have experience in developing the alloys required? Would they have signed contracts precluding them from ever working for a different engine developer?
Firstly, for those owing the highly sensitive technologies of their own country, they are under strict watching by their country's anti-spying department. Anyone approaching them will be investigated.
Secondly, these kinds of technology are developed by a group of people, everyone only knows the knowledge in their own section, getting one or two doesn't help but confuse your own scientists. You will need the whole team.
PPS Afterburners have been around for 70 years or so. Would countries still consider the technologies involved as state secrets?
Of course, as you said, only a handful countries can produce them independently. This means these technologies are still state-of-art to others.