Fundamentally, there aren't very many things that can turn crossover electrolytics into a writeoff:
1. Drying out, when the seals haven't been doing their job properly. Smaller parts are more sensitive, as you may imagine. Measure ESR and capacitance to find out.
2. The electrolyte chemistry turning acidic over time, which has it attack the crucial oxide layer so the latter will never be stable again. (I presume that's what's happening with the notorious '80s/'90s blue Philips axials.) Measure leakage current after a reforming attempt to find out.
It goes without saying that capacitor make, series, value, production time, individual part history and sheer luck all factor in, so predictions are going to be limited in scope.
Any well-preserved smooth foil bipolar electrolytics are good candidates for reforming, once in both directions obviously. Charge to rated DC voltage via 1 megohm or so, while turning up the voltage slowly at first and monitoring voltage drop over the resistor (i.e. effectively leakage current by way of Ohm's Law - basically any cap worth its salt should settle below 0.01 CV, possibly an order of magnitude lower). One of the better tools for doing this would be a classic oldschool capacitor leakage tester, as lab power supplies rarely go beyond 30 or 60 V DC and high-voltage DC sources up to at least 200 V DC are not exactly growing on trees (not to mention that they should be handled with due care). If push comes to shove, there's always the option of using an existing power amplifier with variable input and a rectifier diode (e.g. 1N4007)...