Out of interest, what does the manual say???
My experience relates to my old Anschutz 2002 that i've owned for about 6 years now and have spent a lot of time chasing consistent performance, much to the amusement of my club mates.
I think i'm nearly there now, having both found some good pellets and figured out a cleaning regime that seems to work involving cleaning with oily pull through after every shoot and with occasional pull through of a bore snake.
I thought this was perhaps a little excessive until i recently dug out the old instruction manual that came with the rifle; the manual describes a barrel cleaning routine almost matching the findings of my pained years of trial and error FFS!
I don't know what the steyr manual says, but it may be worth checking.