Statistical research based psychology is hardly a real science. It has no feedback from reality. It has nothing whose success in the real world depends on the accuracy of the research. Clinical psychology is still useful in my opinion. It still helps people. There's a real feedback loop where understanding can change outcomes. I dislike the falsifiability approach (if its falsifiable it's science) and the peer review…
My view is that replication is just one safeguard within science, but is not the only thing needed. Confirming or refuting isolated factoids doesn't tell us much more than the factoids themselves.
I think a science needs to develop towards theories that connect those factoids into a framework. Psychology has not reached that stage yet. Compare to physics or chemistry. Some commentary has suggested that the replication crisis extends to those fields too. My graduate research project in physics was never replicated. But physics has a framework of theory that remains strong by connecting studies to one another, so that if one or more isolated studies fail on replication, the whole framework remains strong.
In some sense, "useful" could include merely "useful to science."