I"m not sure what interaction they may have, but from the DM website:
Gold Range ZONE Works With All Nutrients, In All Systems And All Mediums!
it looks to be a root zone conditioner, so I don't really see any problem or negative interaction with organic. Bud Igniter says to be Organic(?), however a listed ingredient is monopotassium phosphate, which I am fairly sure is inorganic, so it seems like a conflict to me.
But, to answer your question, I do not think DM Zone would negatively interact or interfere with Bud Igniter.