For this specific purpose, better to stay simple.
What you need, is to hold off enabling until
you have enough headroom for FET stacks to
work, in suppressing spurious dV/dt turnon
the rest of the way up (or even wait until
done, done).
At this kind of supply, a stack of 2 NMOS,
2 PMOS, all diode connected makes a
"good enough" reference for functionality
of shunt switches (like, put one across final
PMOS G-S, "on" by default, "off" when stack
gets "lit up" (exceeds 2VTN+2VTP, plenty
of gate drive, can turn on below desired
LDO output voltage; problem behind that is
error-amp windup, so more shunting there).
If you put a capacitor burden on the bandgap
then on switch-release, soft start is a freebie.
You probably want that filter anyway, with
discharge shunt (so as to release, on cue).