Hi, Ariel.
I just wanted to check on your issue. Have you already resolved it? In case you're still working on this, you may follow the suggestion below.
We have noticed that your Hysteresis Control Pin (Pin14) of ADCMP573 is set to 0V. As specified on the datasheet, this pin should either be left open or pulled down to AGND via Rhys (values are on Figure 7 of the datasheet). In your case, using Case 3 of Table 5 of the datasheet, HYS pin should have -3.2V because you have level shifted your CGND to -3.2V.
I hope that this still helps you. Apology for replying to you very late.
Regards,
Anna