Since you moved the live rock, I wouldn't worry too much. Besides, it's not the water that cycles, it's the tank. Way back in the day, we thought old water was somehow magic, then we figured out it was all about a bacteria bed. Most of your beneficial bacteria is on the rock, in the filter, and on the sand or gravel. Monitor your ammonia and nitrites a couple times a day in both you quarantine tank and in your display. If you see any, do a water change to bring them down.
I will ask you this, how did you move the inverts from the display to the qt? Did you reacclimatize as though they were new additions, or did you just catch and release?
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