The biggest problem with recurrent spiking neural networks is searching for them.
Neuromorphic chips won't help because we don't even know what topology makes sense. Searching for topologies is unbelievably slow. The only thing you can do is run a simulation on an actual problem and measure the performance each time. These simulations turn into tar pits as the power law of spiking activity kicks in. Biology really seems to have the only viable solution to this one. I don't think we can emulate it in any practical way. Chasing STDP and membrane thresholds as some kind of schematic on AI is absolutely the wrong path.
We should be leaning into what our machines do better than biology. Not what they do worse. My CPU doesn't have to leak charge or simulate any delay if I don't want it to. I can losslessly copy and process information at rates that far exceed biological plausibility.