I think the module was simply defective. I tried a different one and I got immediately the low power consumption I expected.

Thanks for answering anyway!

Hi, I am trying to get an ESP32 into deep sleep with occasional wakeups for a battery-powered device. According to the datasheet, it should consume just a few microamps while in deep sleep. I am observing a current of around 5 milliamps, so this is around a factor 1000 too big. I don't have too stri...