If it is really really sensitive it might point to a bad or broken solder joint between the connector and the board. Or, the plug may have been banged and over-stressed the connector. Either way, probably needs someone to take the unit apart and do some continuity tests.

Sadly, we have to use these connectors because they are the standard for affordable power supplies, but I wish they were stronger. There is a miniature XLR that is cute, but they are not cheap. People already think our boxes are expensive, so higher prices would be unpopular.