In our company it's SOP that the skip sets take-off thrust, even on an FO take off. The reason is that the abort-decision lies with the skip. Everything else is done by the fo, only on CAT II/III approaches the skip takes the plane at 1000ft RA. On the ground it's a bit different 'cause we don't have a tiller on the right hand side. Some captains do a complete role-reversal including taxiing, they help a bit in the sharp turns though.