Tourist - So if the Nr is the same, where is the extra lift coming from to balance the extra weight once things settle down?
It's the other way around - heavier, greater pull due to gravity, a tendency for a higher NR as a result (for a given pitch setting), therefore more collective (lift) required to maintain NR. So, more lift from more pitch...
One might (quite reasonably) think that the increase in lift would at best counter the increase in weight so result in approximately the same ROD, but it seems that the resultant increase in lift actually goes some way further than the increase in weight.