All of the caps in several of mine were Nichicon, and the same ones were still bad. Even those that weren't leaking tested bad with the ESR meter. Nichicon is a quality part, the fault lies in the conditions in the power supply. Switching PSUs are notoriously hard on output capacitors, and these are extremely compact units that place the caps in close proximity to other parts that get hot.
For whatever reason, ESR tends to drop as you heat up an electrolytic capacitor, so that's why the heater trick works. It's also why a classic symptom of failing capacitors is equipment that's cranky when cold but smooths out a bit as it warms up. Of course heating the capacitors also accelerates their demise, but at this point they're already shot anyway.