Stable, to some degree, in all of those respects, since they are interdependent. Being stable with respect to any of the above indicates a degree of stability with respect to the rest. You can't be stable against gold without a degree of stability against USD, as USD/Gold is pretty stable, and arbitrage would close the gap. Likewise with local prices and income.

I'm not familiar with SDRs.

> USD/Gold is pretty stable

Umm, I'm not sure I can agree with that[0]

To be fair, it was fairly stable until about 2006. However the whole point of "being stable" is also to be stable in times of external stress. USD/Gold fails that one quite spectacularly.

[0] https://goldprice.org/charts/gold_30_year_o_x_usd.png

That's significantly less volatile than Yen/USD. Stability in currencies is pretty relative.