Trouble using shared CC library of colors — and getting illustrations to update to the shared palett

Context:

We have a rainbow palette of branded colors.

We also build hundreds of custom illustrations using these colors.

We need the illustrations to have colors assigned, which update if the brand color updates in the library. So for example, if 50 illustrations have blue400 assigned from the shared CC library, and that blue400 has a value of #0000ff, AND if brand changes the blue400 value to #4400ff, we need all of the illustrations to update (when opened) to reflect the new blue400 value.

What we've done:

We have shared a library via CC shared libraries that includes all the brand colors.

We have created a new file with a user who is invited to that library.

We have tested on a simple square shape, by assigning stroke and fill colors from the Libraries panel.

We have changed a library color from orange to hot pink, to test if it updates the square which was assigned the color.

Problem:

When we assign colors to shapes from the shared library, the colors don't seem linked to the library. They seem to create local swatches only. When we changed the library color from orange to hot pink, the library updates, but the illustration which had been assigned a color using the Libraries panel does not update.