I use Pennzoil Platinum 5W-30 and a Syntec oil filter- both from Walmart. The Syntec filter is cheap and is build better than the Fram filters (unless Fram has stepped up their game). And I still change my oil/filter between 3-4K regardless manufactures specs. One good investment is an oil filter magnet... I have seen first hand the magnets catch things that would slide through oil filters. I used to use Rotella but they have recently started to reduce the amounts of ZDDP content in the oil (which is what made it so good). And as stated above, PP rates pretty highly in these engines. And as far as I know, Rotella only sells in a 5W-40 weight... And I am a strong believer in running spec oil weights because Variable valve timing is or used to be dependent upon oil pressure/viscosity. I do not know if it will have that effect on the MZR. But I still hold that school of thought regardless.
Food for thought: There is a synthetic rating scale, and I do not remember it exactly but I think I will be close.... Most synthetic oils, including PP rate in the "stage 2" oil category for synthetics, Mobile 1 rates as a "stage 3", Amsoil a "stage 4" and Red Line a "stage 5". So if money is not an issue, I would say Red Line should be the best, BUT a DISI is much like a diesel, and different oils work better than others in certain engine environments.
There is a reason German engineering recommend Mobile 1 in there vehicles.
Some of the above is fact, and some opinion- Take it for what it's worth