Thanks, all.  

Splinter - The precolor (waterbased stain) gets down into the grain without much effort, but cross-grain motion with the pad pushes it further in.  The video I referenced mentioned that the precolor doesn't cover the hard grain as well, and I found that to be true if I buffed too vigorously.  The black oil/wax will find a home in those crevices and really help create an overall black finish.  

Barb - Nice finish on the picture frame.   That's just what I want to achieve on the chairs with the pronounced grain showing through.