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What they are describing works, but it's not favored here on the R2R community. I believe most members here favor a fish-less cycle without livestock, using bottled bacteria and an ammonia source.
For bacteria, the product that seems to work the fastest is Fritz Turbostart, which can cycle a tank in as little as two or four days. All others are fine to use, but expect the cycle to take about three weeks or so.
For ammonia, you can purchase Fritz Fishless Fuel, or you can use Baking Ammonia, which can be found in the baking section of craft stores like Michaels if you have one near you:
https://www.michaels.com/product/lorann-ammonium-carbonate-27oz-10695841
Get your tank running with the temp and salinity adjusted correctly, then add your bottled bacteria and your source of ammonia. Add enough ammonia to get the concentration up to about 2.0 ppm verified on a good test kit. Then, watch for the ammonia to fall to about 0.25 ppm or less, and you should be fine to start adding some hardly livestock, like a hardy fish or some snails, etc.
You can safely ignore nitrite, it's not toxic in saltwater, just watch for the ammonia to come down
Another method of cycling your tank would be to simply add a shrimp from your local seafood market, the shrimp is loaded with the beneficial bacteria and the shrimp will decay producing ammonia. This is less controlled, definitely 'old-school', can potentially, literally stink, but it does work
Last, adding some live rock or even a pinch of sand from the tanks at your LFS is another way to jump start the cycle.
I hope that helps and please post again with any questions!
Good luck!