If we pick several spot or global color swatches to display in Swatch Info, the resulting color chips won’t be using the actual swatches picked — these would become process color copies — while Ink Types are shown as 'Spot' for spots... which are not... and no information about some being 'Global'.

I realize this connection would have to be monitored, refreshing cards when a swatch is changed...
But this is what is expected. This is what scripts that offer a similar functionality do.

If we choose to convert these into process colors, we can just can select one and press the button in the Color panel... yeah, it won’t work for several of these selected, but that’s another problem.