They *should* reverse, at least in some cycles.
Asko was owned by Gorenje which in turn is now owned by Hisense (if I got that the right way around).
So, the modern Asko dryers that have a bedding cycle should reverse like the Gorenje ones.
I haven't used a Gorenjes Bedding cycle - but there might be a video somewhere?
I would guess that some other cycles reverse as well - the manual used to use the same text for the Shirts cycle that implied the reversing for the Beddings cycle.
I guess the upper end models with Bulky items cycles or such would reverse on such as well.
But most typical cycles (Cottons etc.) probably don't.