Uhh... No. At least not as described. The roots do excrete certain things, but that is a waste-product disposal. It's not like the plant empties out its nutrient stores when its world goes dark each "night." That would be... Well, that'd be a horribly inefficient use of its energy, to begin with. Extending the dark period to (IMHO) nonsensical lengths isn't going to change the basic behavior of the physiological structures of the organism. What it does do is create a time when the plant is receiving NO energy, yet the buds are not harvested and drying.
Now, the terpene... The olfactory perception of the terpene profile might change, because the light is not running for hours each day - so they might not volatize at the same rates.
Something doesn't fit right inside my brain.
Don't tell anybody, lol. They'll glue electrodes to your noggin and make you lie down for what seems like a really long time - what with the electrodes glued to your head and all. But you do get a nice long bit of techno-crude artwork to take home and hang across a wall or two. Or... so I have read.
Hmm... Possible, I suppose. IDK if there would be any kind of evolved... If a mutation produced that sort of thing, it wouldn't have given any advantage to the organism - so probably wouldn't have been passed on in any appreciable percentage of the population. OtOH, a mutation that caused a marked increase in terpenes that attracted animals (and, perhaps, increased their appetite) when a certain amount of seeds became mature might be considered to be a positive mutation, because it'd tend to ensure that the plants' seeds got distributed throughout the area. This is helpful for a number of reasons in nature. I would expect that kind of mutation to be passed on.
They're huge!!!
I had that happen, and it went from "Oh wow!" to "Oh <BLEEP>!!!" real quick. I hope you don't run out of room before the end of the stretch.
Light leak?
You could set everything up on one of those ridiculously cheap computer boards - Raspberry Pi (or the like) or an arduino. IIRC, there are timer devices, temperature sensors (shut down the lights if there is an extreme high temperature event, maybe kick on an electric heater if it gets too low), there should be some kind of water sensor available, I'd think, which might send the gardener an alarm if a nutrient tank fails, et cetera. I'm guessing that you could access these things via your iPad, and probably have some kind of log for the various data - which could be handy for some people. The hardware is going to cost money, of course, but it's not all that expensive (or didn't seem to be, last time I window shopped, IIRC). The software ought to be free (the Raspberry Pi runs linux, so 25,000+ free apps, lol?). But it'd be more a convenience feature than something a person needs. I've read of people setting up auto-feeding and pH-adjustment stuff for hydroponics, though, which could be useful if the gardener is away from the grow for days at a time.
I'm gonna be really excited if germinating ends up being this easy to do. 
