I am vehemently against this. Magical node enrichment (what are we doing that a few minutes, or even hours, of work by this drone will allow a node to FOREVER provide more resource?) is too much like game breaking. Might as well ask all nodes to be rich from the beginning. You cannot accept that node diversion is needed in the game and then ask for a way to effectively remove this, even if it takes some kind of "work" to remove the poor nodes.
Mine everything, collect them all and then distribute.
The nodes are infinite production so even a 1/minute node is SOMETHING extra that down the line will pay itself back, simply by virtue of being infinitely producing.