I have a large cloud library with like 800 swatches for customers that I need to use in multiple different documents. Most of the swatches were uploaded with the global tag so when I use them later on, they still have their name when I add it to the documents. However, some of my swatches are missing the global tag so when I add them later on, they just automatically convert the selected object to CMYK and doesn't add it to my swatch panel.

If it matters, my workflow is selecting the objects that need the new swatches, then clicking on the swatch in the libraries panel. I don't do the thing where you right click>add color to swatches. And there is no way for me to tell from the libraries panel if a color is global or not, so I can't just go through the panel and change the affected swatches.