How do you intend to present an argument when you keep backing it up with miscalculations and unjustifiably pumped up numbers?
With 5 node attempts a day, you will get a toon from 0 to 330 shards in roughly 200 days. That is an obvious increase from the average 125 for 8 attempts (no refreshes calculated), but far from a whole year, as you present it.
As Liath pointed out, you are by no means limited to farm a single toon at a time, unless you purposely waste your daily free energy by not going below 144 energy points. You don't even have to refresh energy for crystals to be able to use more than 100 a day, which is the price of the most expensive hard node muptiplied by the 5 attempts.