Customer is using LTC3632, he made some tests.
LTC3632 powered from LAB power supply, when increasing slowly input voltage from 0 , converter trying to start up (oscillate) but can set adequate output voltage and sets 0.8-1 V or Vfb below 0.8V. After that converter don't work even if Vin is 10-20 V.
When current limit increased glitch appears less frequently, maybe there is short curcuit protection glitch or internal circuits can't start properly near border voltage;
It's not critical problem in application, but may cause failure.
I asked customer for schematics.