Measuring the caps with an ohmmeter can only give you a rough idea of whether they are good or bad. Whether they have to be disconnected depends on what else may be in the circuit. But trying a resistance measurment can give you some idea on isolating a bad component when comparing to a known good crossover...
Simply put, inductors rarely go bad, a resistor will usually have a value within tolerance, or be open (infinite resistance). If any value wanders as you measure, it needs to be unsoldered and measured out of circuit. Process of elimination leaves the caps.
If you suspect a cap and your meter does not measure capacitance, an ohmmeter can be used for comparison as I mentioned previously. This does have caveats, but you can also swap the caps between the known good board and the bad one if nothing else seems bad.
While somewhat less likely, you may have a bad solder joint or broken PC board trace. In this case, you will need some more help with circuitry. Sometimes it will be visually obvious, but if you are removing the crossovers and have not found an obvious culprit, let me know and will give you some further guidance.
Ww