There are pro and con in using skimmer while cycling:
Pro: Low toxic, preserve more life on LR
Con: If your skimmer is TOO efficient, it will skim out all or almost all the waste which means you'll get a tiny cycle or no cycle at all. When the cycle is done, there is a chance your tank won't have enough bacteria to support new fish.
, just cycle w/o the skimmer. Makes things less complicated XD. Most skimmers will break in after a few days (at least my CSS125 did)
The water turnover rate per hour matters. You might think you have enough flow but it's usually the rate that determines that. It's not the water movement that we're most concerned about, it's the gallon of water that moves around the LR
/bacteria per hour that matters.