When Pins Cannot Be Tightened

[WW243]

Yesterday I tried to tighten the pins on a recently acquired Greaves. Tap Tap Tap over Tap Tap Tap over...and so on. The tapping seemed to do nothing. I am by nature get a bigger hammer person but this razor is a treasure to me and I don't want to do something foolish. And I don't want to de-pin the razor.
Has anyone experienced this and found a reasonable solution. It was not a problem shaving as the scales seemed to stay put by friction on the short end above the pin. But stropping was not fun as the scales offered practically no resistance.