A better analogy would be if the Manhattan Project gave people super powers, as is usually the case in comic books. It was a project developed to create a war winning bomb and that's about it, the super powers would be an unexpected side effect that may or may not be known about. Heck, in comics when people do know about it, their "I'll recreate the radiation that gave <superhero> their powers!" usually doesn't even end well...
It's the same with the Resonant. It was a project solely about creating an artificial Echo, in order to give Garlean soldiers an edge versus Primals. That was the full scope of the experiment. Immortality is an unexpected side effect that practically nobody knows about.
It's less about incompetence and more just about how unethical Garlemald "science" is. We'd come up with a theory and hypothesis, and we'd slowly test it over and over. Garlemald just comes up with an idea and runs with it; "Will you gain the Echo if we siphon a bunch of Echo users aether into you? Lets do it and see what happens!" It's a very uncontrolled methodology, which I guess you can still call incompetence, but at the same time even the most controlled experiments can yield unexpected results. Had Aulus more time to share his findings, they'd likely have been able to refine the process, but the immortality thing? Only way to even notice that is if your surviving test subjects die, it really isn't an obvious side effect. If Echo = immortality was common knowledge, then sure, one could assume Resonant would function the same, but that's not even the case. The Sahagin Elder was the only instance we've seen of Echo = immortality, meanwhile plenty of other Echo users have seemingly died. Pretty sure Gaius even had a bunch killed at the Waking Sands, and none of them miraculously came back... So why would anyone think such an experiment would grant immortality?