All of the trim had been sanded pretty well before we refinished the floors, only the shoe molding (that we didn't remove before refinishing) was splashed with stain and poly and left unsanded. I put down some painters tape and got to work.
It was going on very nicely, this is just one coat on the right side. I was impressed with the way it covered the dark oil-based stain and poly in one coat! We didn't fix the notched-out trim yet. It's on the Boozie Fix-List!
After two coats, it looked almost as good as the trim that I prepped with B-I-N. And there was no messy clean up! So the bottom line is, for peeling paint and lots of uneven layers, B-I-N is King. For coverup of relatively sound surfaces, even over small amounts of oil-based finishes, the Behr Premium Plus works well! I'm interested to see how it holds up over time, as I also used it on all the door trim without separate primer. I will update on the durability after a few months of use. I sure hope I'm not disappointed!