[updated-2]
Dear Benno,
Thanks for the information sent.
So, the D1V2_core rail has ">20 100nF capacitors" but what about the bulk one (e.g., 4.7uF like in our designs)?
(BTW, even though "BCTRL_EN always high", I guess it comes from the processor whose code has not been finalized yet... In this case, based on my experience, it might make sense, at least for now, to "hard-wire" V31 to guarantee it it is ON (or even replaced with a short!) all the time, for sure!)
Please, also take a closer look at the Vybrid reset line - I am a bit confused by the fact that the oscillator starts at '3V3' equal to approx. 2V, then stops after a few ms when '1V2' equals approx. 0.5V (all this when the oscillator is supposed to be disabled by the reset pin's logic-low state...).
Shown below is what we observe on our boards:

As you can see, both BCTRL (i.e. 1V2, too) and 3.3V are already stable when the RESET goes high, and then the oscillator's bias goes ON, and then oscillation starts.
(The 2 upper, analog, channels are for BCTRL and 3.3V, the 2 lower, digital, channels are for 3V3 and Vybrid RESET).
Sincerely, Naoum Gitnik.