Hopefully it is clear from the above that the advice you were given is not conflicting. Both sides of the story are true, but each side relates to a different part of the system.
The soft start is on the output of the VFD, so the motor will not try to go from zero to 50 Hz in the blink of an eye, which is what causes the high current draw there.
The VFD itself has large capacitors in it, which will demand current if energised from full discharge.
If anything ‘blows’ an MCB, there is a serious problem. Hence, saying that the current may trip the generator’s MCB could be a more accurate description.