When I moved from Cali to Seattle last spring, I broke down my 30 and had another approx. 30 gallons of water with 90lbs of cooking LR. I used airstones and heaters in my truck , high tailed it to Seattle, put all of the LR, and water into the 120. Put all the corals, four fish, and a bunch of inverts onto a 50 I had on stand by.
After three days the 120 still had no readable toxins, I put all of my corals , fish and inverts into the 120 as I needed the 50G's home to finish moving in. I tested the 120 for Amm., NO2 and NO3 daily and never had a readable amount of anything.
I agree, If you have established LR , sand and water. You dont need to force a cycle.