TBCH Hauritz performs just as well as Vettori. Vettori has of course played 6 times as many matches as Hauritz, but after 15 games he averaged 17 with the bat. TBF Vettori was 20 but Hauritz has had to bat at No. 9-10 his entire career, where Vettori averages 23.
And I'd rather have Hauritz bowling for my team than Vettori....
I'd take Vettori over Hauritz to be honest. Hauritz has the benefit of a strong pace attack at the other end whereas Vettori doesn't and hence has to play not only as a containment bowler but as a strike bowler as well. I'm sure if Vettori had the same quality pace attack Australia has bowling at the other end he would have a significantly better average.