Idgy, not sure if this is easier to understand but here goes.
Fresh live rock should be cured to allow die off and other organics that will not survive to be removed in a safe setting that will not pollute and existing system. It's an inevitable process of collection, transport and air exposure in regards to rock. A great many things still survive though.
Cycling is a term meant for bacterial colonization (mainly) and fauna, nothing more. Cured live rock will in essence be cycled as it has gone through a die off process and that process feeds the necessary bacteria. Cured rock does not need to be re cycled usually.
"Equilibrium" (mentioned above) is a bit fleeting as it requires a static system in which we do not have and cannot really control in terms of micro organisms. In short, a better goal or term if you will is as the tank matures it gains stability. That is something that takes quite a few months and you need not be concerned about just yet.
Your choices are actually pretty easy. If the rock being received is cured, everything can go in the fuge. I would fill the fuge with tank water and let in run while you wait on the arrival of your order. This will ensure ther are no snags that need attending to. Once everything arrives, inspect it for quality (smell the rock) and if all is good add the rock and acclimate the inverts.
If the rock smells, cure it seperately in an appropriate sized pail with a heater and powerhead. Plenty of water changes and test daily for the the three nitrogens. Once only nitrate is detecteable, swish the rock really well in some clean SW and add to the fuge.
Don't overthink the small stuff. you'll just give yourself a headache for naught.
Cheers
Steve