The concern in this situation is whether anything reported by the LCR meter is legitimate. If we believe the caps are 6 uF, why would the meter report 11.5 uF? Capacitance doesn't increase with age unless the dielectric constant of the insulation has also increased. Personally, I've never seen that happen. And if the meter is interpreting some other characteristic as capacitance (e.g. leakage), none of its measurements can be assumed to be accurate. Not ESR, not dissipation, nothing. This also raises the question as to whether the schematic in the article above is accurate. Are the caps 6 uF, or are they 11.5 uF? The latter is within 5% of 12 uF, which might be the intended value.
Without valid technical data from JBL, only additional testing can resolve this issue. The original caps can be resonated with an inductor and their value calculated. Minor DC Leakage won't generally affect that type of measurement. The caps could also be tested for leakage, perhaps with a "real" capacitor tester or variable DC supply set to apply 50 VDC or so. That might indicate whether the digital LCR meter is being "fooled." Also, given all this uncertainty, the frequency response of the crossover should have been measured before tearing everything apart. Even if 6 uF at both capacitor locations produces a working crossover, the frequencies may be considerably skewed from their original values.
Jack