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Another big factor is phy calibration. Normally this is reasonably quick out of deep sleep because it loads previous data from NVS, but if you're really pushing the envelope here then even initialising and loading data from NVS is relatively slow, especially if the partition is large. See https://github.com/espressif/esp-idf/pull/5708 for a (abandoned) solution.
Maybe https://github.com/boarchuz/HULP will be useful for the ULP? It supports IDF and Arduino, though admittedly there's not much effort on the Arduino side.
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