Oil based kilz over latex. Oil over latex no go. If not the existing paint is oil based. If some of the paint comes off on the rag its latex. The truthful answer to this question is that you shouldnt paint an oil based product directly over latex paint but it can be done if a sealing coat is used to separate the layers.
If you wait a minimum of 2 hours before painting you shouldnt have any problems. Latex over oil ok. Types of painting primers oil based primers. Oil based kilz primer can be painted over with any type of paint after 1 hour with good drying conditions 65 75 degree temperatures and good air circulation.
But i like oil primer on exterior wood. Because latex paint has built in flexibility it doesnt make the ideal base for oil paint which has a hard finish. When i worked at my folks true value the rule of thumb was both latex and oil could go over oil but only latex can go over latex. When using latex paint over an oil based primer always remember to prepare the surface well in order to have a smooth and lasting finish.
Oil top coat nowadays is sort of unnecessary with the quality of latex top coat paints. Oil based primers work nicely with both oil and latex paints as we have seen in this article and this versatility has made it an industry standard. But you can put latex paint over oil based as long as you prepare the surface properly first. Kilz makes both latex and oil based primer.
Dont apply oil based paint over latex. Applying latex paint over oil based paint has less to do with the lower coat being oil based than with the fact that this is a paint over paint project.