The choke value is not only rated in uH, but also for a resonance point, usually relative to the distributed capacitance across it.
This is why you find some RF chokes having different-sized pies wound on it: to reduce the 'solenoid' effect of a single winding at particular frequencies.
If self-resonance occurs at a particular frequency, it will cease to perform the isolation function. If it is handling power, such as in a plate circuit, it will probably burn and be damaged.
73DG