It depends on how badly the source of the collapse wants them dead. The Japanese imperial line hasn’t changed since before the Meiji restoration. The Hapsburgs are still the monarchs of Europe and one of the most wealthy and powerful families in the world. Hell, le ancien regime had to be overthrown several times before they stayed out of power.

Also there is no meritocracy in imperial collapse, there are skills that lose value and skills that gain value, but it’s not as though it’s some reset, it’s usually warlords and demagogues. It’s a time in which the cunning and brutal succeed over the honest and efficient. It’s the era of Julius Caesar not of Ramseses II.