The charge/discharge/charge/discharge cycle should continue throughout the balancing function.
To do otherwise assumes that one discharge cycle has equalized the cells.

That proves to be a poor bet.

The purpose here is to guard against the overcharge of the cell with the highest charge acceptance and the discharge/charge/discharge cycling is the method.

If the cell with the higher charge acceptance is routinely overcharged it will exhibit a short life expectancy.

Assuming (unlikely) that you had enough packs then you could segregate the cells and solder up new packs based upon their charge acceptance levels.
Interestingly enough those packs then made up of the cells with lower charge acceptance cell will through continued cycling exhibit a life / performance span very close to the others.

This "seeming miracle' is no miracle at all simply the result of proper and extensive balancing.
For most RCers this is simply not worth the trouble and is unjustified by the inherent savings.

Running a fleet of say 150 to 200 Golf Cars it is justified simply by the weight of numbers.