Using the latest versions of both mods, I have discovered that the Rose, Syringa, and Paeonia flowers from Inspirations do not work with Quark's dyed flower pots, while still working with the Vanilla flower pots. This contradicts what is stated on the Quark website, that Quark's flower pots retain the full functionality of Vanilla flower pots. I have opened this issue with KnightMiner, the creator of Inspirations, as well, in the case that this is an issue with Inspirations rather than Quark.

Inspirations replaces vanilla flower pots with an extended one which supports any missed flower, so it's not vanilla behavior per say.