Marjorie Harris writes in her book ' Ecological Gardening': wormwood makes worms flee. Does that mean leaves of Dusty miller should not be put in the compost?
Dusty Miller is a tender perennial (perennial in Zones 9 or 10, annual otherwise) otherwise known as Senecio cineraria. It has fuzzy silver grey foliage. I have tossed clippings from my plant into the compost and have never noticed any problems.
"Dusty miller" is the common name for a number of different plants (one reason for not using common names). Some of them are quite invasive. As such, I would suggest that prudence would dictate not putting roots of perennial plants in the compost, just the tops as long as they have not flowered, i.e. not carrying seeds on them. Then you should not have anything to worry about unless they decide to root. If you aren't sure, don't.