There are very few cases of a royal heir being refused the crown without involving murder. The closest case I can find is George VIII https://en.wikipedia.org/wiki/Edward_VIII who abdicated before a year passed.
If Hartking and George get the same treatment, then Hartking will be a paria in the royal family barely having contact with them. Akari will be labelled as a hominous woman and will be avoided like the plague. Best case scenario Hartking is given a title which works only on paper and forced to administer some shity and far away land.