Burnished Leathers fall into the Semi-Aniline category for cleaning, so you're good to go. They use the "protected" leather conditioner. Has to be a little stronger to penetrate the glazing compound on the burnished chairs. Aniline conditioners are chemically not as strong. the Nubuck is suede..so you don't need that.
Be VERY careful with that ink remover. It will pull the color right out of things. Never rub with it, only blot with a Q-tip.