After a bit more research, you are most definitely correct, @Brad Reid. I actually started googling long rods and leverage after I posted it and have decided it's a myth. I wonder what length of handle, rod, and the optimum spread between hands on the handle provides the most efficient amount of leverage.
I've actually tried fishing a relatively tight waterway here with a Zebco Dock Demon, of all things. A 3' rod definitely doesn't move enough line to set a light wire 2/0 EWG.
So, while a longer rod doesn't provide leverage, it does move line quicker than a shorter rod. This is fact. I don't believe it takes much force to embed a sharp hook into fish flesh, which is personal opinion, but it will undoubtedly take more force than a shorter rod based on leverage.
All of that leads me to believe is that @TOXIC's brother in law and @bayvalle aren't getting a very powerful set due to the nature of kayaking, it's often unstable. Also, they move much more readily than a larger craft or a man planted on the bank. That give between the fish the the anchor point the set is arriving from will also weaken the set. I think I understand why you guys have much more success with shorter rods offering a more powerful hookset.
My kayak is 13'8" long, and a whopping 38" wide. Falling into the water or flipping the platform never crosses my mind, so I haven't had much problem driving heavy gauge hooks into 30" redfish with 7'6" MHF inshore spinning rods. I don't believe I'm going to have much trouble setting into a bass' mouth with 3"-12" longer than 7' from a kayak, but I can understand where other people would.
As far as stealth and the ability to get closer than a boat is concerned, @Brad Reid, I agree completely. I'm just not willing to compromise the distance ability of longer rods to focus solely on close range fishing. I believe I can get the best out of both worlds with rods ranging from 6'7" to 8" long.