You are talking about 2 different animals.
A symmetrical core ball has 1 determining factor in creating or effecting flare, the primary pin and the strength of the core.
In asymmetrical core balls you have 2 determining factors, the primary pin and the PSA or mass bias strength. The strength of PSA, in comparison to the primary pin, can dictate a lot, similar in using a weight hole in a symmetrical core ball.
Another factor is how strong the PSA is. If you take a core that has a lower PSA strength, less than .010, the primary pin is still going to dictate the amount of flare, similar to a symmetrical core ball and have less effect on the overall shape.
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Formerly BrunsRico
As posted by Steven..."None other than our esteemed JustRico!!"