Hello Tobias !
For one thing it is more ‘full’ but do not know how more ‘correct’than Dutiyasannasutta ( AN 7.49) where the perceptions are given as just seven – omitting the last two here. I make out that ‘giving up’ is abandoning all hope in sansara to seek Nibbana and ‘fading away’ is that very attainment of Nibbana.
y not