I agree it is hard to test a Cap with an Ohmmeter..
First. It takes time. and you have to know both the value of the cap and some things about your meter.
When you first connect the leads it will (or should) show DEAD SHORT for a capacitor that is "discharged" is a DEAD SHORT when power is first applied
THen as the cap charges resistance should go up ideally approaching infinity (In practice for large electrolytic caps like the ones under discussion it won't go that high) The value of the cap and some meter stuff indicate how fast it rises
The value of the cap can be determined by how fast it rises in fact.
Today I have Multi-Meters that measure Capacitance.
In the old days I did it with a Vacuum Tube Volt Meter and a stop watch.