Indeed, they are combination of serial and parallel connected LEDs, and many times some of them are dead, so they must be either bridged or cut out of the circuit. Also, they are almost never marked so no chance for a datasheet. Some of them don't even have the rest of the lightbulb any more, so no way to deduce the max current from the specs typed on the light's socket.
Assuming I cut the traces to measure only one LED, are there any chances to find a good max current from something other than temperature, for example by looking at the I-V curve, or maybe at something else?