I'm not sure I totally understand the question...
If you removed all the water from your 10 g and replaced it with new saltwater, you shouldn't experience a cycle. You may get a
diatom bloom because you upset the ionic balance but there should be no detrmental effects.
If you remove the water from your 10 g and put it in a new 10 g, the new 10g will still need to cycle with some biological matter... IMO it's pointless to use tank water to "cycle" because the bacteria aren't really in the water column but they are attached to surfaces in the tank... rock, sand, bio media in your filter.
You're better off cycling a new tank with an established bio-wheel or other biological media from an existing tank (be careful not to take too much from the existing tank or it might spike), or live rock or live sand. Use new water in the new tank.
Hope this helps,
Jenn
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