I see no reason why frequency, per se, should damage them - whether 800 times or 10,000 times their 'rated' frequency. As I said to the OP, the only real issue I can think of regarding frequency would be that which would arise if a capacaitor were being used in an impedance-critical role.
If the current limiting in the OP's LED lamps were reliant on a simple capacitor, if the reactance of that were 800 times less than it would have been at 50 Hz, I would have expected instant death of the LED element(s), so I imagine that the lamps have a non-frequency-dependent means of current limitation - maybe just a resistor. In fact, if the LED lamps are suitable for both AC and DC, that obvioulsy must be the case, since one using a capacitor (if any ELV ones do - cheap 230V AC ones certainly do) would obviously not work with DC.
Kind REgards, John