I agree that the replication crisis is apparently much worse in the social sciences than in the "hard," natural ones, although not just in psychology. I'm not a scientist, so I can only go by the reports and by commonsense to judge how much of a crisis it is. You say it's a minor annoyance, not a crisis at all. Some reports say otherwise. I'd expect, at least, that politics and economic incentives might test the strength of scientific institutions just as they can corrupt democratic governments. That's just commonsense.
Science has relatively strong institutions, so scientific methods might be robust enough to withstand such pressures. But forever? Even as certain societies become more neoliberal, like the US? I'm not so sure, but that's largely just a hunch. I take the reports of a replication crisis as an indicator that neoliberal corruptions are on the move even in science. Obviously, scientists like you would have some incentive to downplay any such crisis. But I don't claim to have proved that my hunch is justified. I haven't studied the matter in much depth, and indeed I don't have much firsthand experience in the sciences.