I think there is some sort of communications breakdown issue taking place here by discussing VFDs and Soft Starters in the same vein that is leading to odd statements.
When it comes to starting and controlling AC induction motors, VFDs and soft starters basically are apples and oranges. You can’t really compare them, they do different things and do so completely differently, resulting in different effects on the line and load.
Although it occasionally happens, VFDs are not used as a “soft starter” ONLY, because it would be a waste of money. You use a VFD when you NEED to change the speed. When trying to understand what effect it has on the line, you have to understand how motors work. Because the BFD controls ALL aspects of how the motor gets and used power, the power drawn from the line is infinitely controllable. If you cannot handle more than the motor FLA being drawn from the line, a VFD can accomplish that. It will do so at the expense of TIME, meaning if Current is limited to FLA, it may take 10 seconds, 10 minutes, 10 hours or 10 days to get to full speed, but the drive and motor are fine with that.
You conversely don’t use a soft starter as anything EXCEPT as a means to start the motor, and do so softly with a lower impact on the line by reducing starting current. Discussing what a soft starter MIGHT do to a running motor is pointless, and most of the time a soft starter is bypassed once the motor is at speed in order to avoid it cooking itself in its own box. But because a soft starter is NOT changing the frequency, the ratio of voltage and frequency that the motor is designed for is not being maintained. That then reduces the torque (aka “soft” start), which in turn reduces the current. So BECAUSE the current and torque is reduced, the motor takes longer to accelerate. By “reduced” current, it means reduced to less than the 600% of FLA you see in startup, so depending on settings, 250%, 350%, 450% etc. This means that you are STILL way over FLA, so as you soft start, you are still overloading the motor and your time to get to full speed is limited, typically no more than 30 seconds. Despite the fact that some soft starters will allow you to set the current to 100% or 50% of FLA, the motor will NOT accelerate to full speed at those settings. It’s only there as a marketing trick!