Kiwis picking born and bred Kiwis isn't really a problem, the problem is they're allowed to switch. I still think the Islander nations, particularly Tonga, Samoa and the CIs, need to be forced to start producing and developing their own players, rather than whinging when the Australian born players they pick want to play Origin. Hopefully more games will mean a settled squad for those nations, but I doubt it when you're allowed to switch as much as you want.
It would be nice if the Pacific nations could produce more of their own players, but its worth remembering how small some of these places are. Tonga only has a population of just over 100,000, and apparently half of all the Tongans in the world live outside Tonga (NZ and the US have the biggest populations). Even when they do produce homegrown players, they'll doubtless leave for Aus or NZ because that's where the money is. As soon as they go to Australia or NZ, they become part of their systems and qualify to play for those nations.
In fact, considering the competition from sports like Union, it's pretty amazing how many born and bred Tongans, Samoans and the like do actually go on to be Rugby League players.