It looks like Continual recovery is only a 2nd level feat so I presume it is pretty common to have. I mean, it is an interesting choice: it appears hit points are a tactical resource rather than a strategic resource in PF2E, and spells per day, rage, etc are more strategic resources. Does that mean classes like fighters and rogues don't have to deal with strategic resource management at all?
Pretty much. Add Barbarians, some Monks, and Rangers to that list as well. You can rage anytime you are not fatigued.
Champions and Monks who take class feats that grant them get focus spells which have a strategic component. With very few exceptions the only limited use abilities come from magic items or are focus spells and spells cast from spell slots.