What I decided was that every time a PC relies on their Reincarnation Ritual (other than for leveling), they have to take a Reincarnation Attachment. These are Karmic Attachments, either randomly generated or they can be custom-made circumstantially by the GM, which do not cause the PC to accrue Karma and do not divest Karma when resolved, but which should add an interesting character-related "plot" element / game-hook, and which must be resolved in order to level.
So this way, if a PC uses their Reincarnation Ritual to escape death, they're going to carry some extra baggage with them, but hopefully, that baggage should at least be gameable and interesting.
This generator is by no means definitive, as is I don't think it has quite enough variability, and some of the wording is awkward. Also, it's better to make Reincarnation Rituals that tie specifically into the PC's backstory or the events of the campaign. This is more just for inspiration / as a point of reference.