as with others, my go-to depends on what I'm doing. when I built the dome clock, red oak was the main choice with purple heart, bubinga, lacewood, cedar, and a few others in the mix for detail work.
I've scrolled all 3 species you mention. imo hickory was just about like scrolling red oak. birch and poplar just about the same.
idk about poplar warping right off the sawmill. IMO, pretty much any species can depending on how the tree grew, how it was dried, and how it is stacked.