Royal Road is working as intended - using RR after drawing a card will turn that same card into a "buff" for the NEXT card you draw. Miste has already explained what these buffs are.

About esuna, though - it's a role action, so chances are most people just don't equip it, out of preference or they just forget to or they think whatever debuff is inc is shrugged off easily enough without wasting a role action on it. In most instances esuna is a wasted slot as there's not many raids or trials that would make this a mandatory skill - I personally only equip it when I know I'm gonna NEED it, for example for o4n for doom, and then replace it for something else for the other three raids. Even in expert roulette I don't really use it.

If it's 8-man content it's also possible that people just go the "oh, the other healer probably has it" route, I've seen some deaths to doom in o4n caused by this. :O