I bought some PIC12LF1572 and did a clean test setup. My previous setup was in a circuit with some LEDs, which were turned off, but maybe there was some leakage. It gets really tricky if you want to measure nanoamps.
This is the new setup, on a SMD breakout board and carefully cleaned after soldering, but not on a breadboard to avoid any additional leakage or noise (sometimes I measured less current when on a breadboard, which is strange). It is only the microcontroller and a 100 nF capacitor between VSS and VDD:

I updated the Hackaday project with the new source code and full MPLAB-X project:
https://hackaday.io/project/27471-monoflopI didn't change much, except removing the VREGCON access, which is not available for the LF version, and enabling the internal pullup on MCLR (which I configured as digital input), thanks for the tip. Without this pullup, it needed sometimes more current, when I touched it with my finger. Measured current in sleep mode at 1.8 V is now 11.9 nA. That's awesome and better than the datasheet claims! When running at the lowest internal frequency of 31 kHz, which is sufficient for the monoflop function, it needs about 2.5 uA. My measurement setup is a uCurrent (with an additional 100 nF at the inputs, because
it can oscillate) and a BM257s in DC mV mode. I don't know how accurate the measurements are, but should be ok, because I verified it with a 9.5 megohm resistor and it was right, 188 mV at 1.8 V in the nanoamp range.
There is one remaining problem: I tried to use RA3 as the interrupt on change (IOC) source, but this didn't work. And debugging was not possible, because this needs MCLR enabled as reset input. I think I configured anything as required, which is LVP off, otherwise the MCLRE config bit is ignored says the datasheet, so it should be a digital input pin. Have to do some more tests with it.
And finally I will do the same clean setup and test with a PIC12F1572, to check how much power this needs.
Conclusion: For this simple real world application of a monoflop, and similar applications for replacing old logic gates, a PIC12LF1572 is perfect, if it doesn't need to be too fast. And it needs much less power than conventional monoflops. For example a
74HC123 needs 8 uA quiescent current. Other logic functions, like a NAND gate, could be implemented in an energy-saving way with interrupts and sleep as well.