Nononono, don't get this mental image that the new jungle is just going to let you farm until you have 6 items.
The junglers farm has always been dictated by the lanes. If every lane is winning by a noticeable amount, you can most likely keep on farming. If lanes are going even or losing slightly, you need to help them get back into the game. This has been true for as long as junglers have been used in the meta.
Sure you will most likely get more money in the long run if you compare the new jungle to the one we have now, but the difference wont be that big. If I recall correctly shyvana jungle clearing the wraith camp every clear gets to lvl 6 about 25 seconds later than compared to ignoring it, but has around 100 gold more to spend.
And the new jungle items will give you more money, sure. But that is AFTER you've bought them.
Obviously we don't know how big of an impact the new items make yet, there hasn't been enough testing, and PBE is PBE. But please don't expect a miracle.