sensor - simple IC for on-off current detection?

I am trying to identify an IC that can sit in proximity to an appliance power cord (120VAC) and simply detect if current is flowing or not. On-off output is fine; no need to actually measure the current flow.

I thought this would be a trivial exercise, but it seems not so simple. I have seen a number of examples using Arduino, or similar, but this seems like overkill for this application.

Can someone please point me in the right direction for a simple non-contact integrated circuit that outputs on/off, depending on AC current flow in a nearby conductor?

I have been looking at current sensors, like ACS712). But these seem to need current flowing through, rather than just proximity.

So then I looked at standard Hall effect sensors. I thought a unipolar version would provide an output signal proportional to average current, which should work in my application. But reading the spec sheet on US5881 seems to indicate the output depends on polarity of the field. I think this will fluctuate constantly for AC, rather than giving an average current value output.