Some back story. When starting DOL (Across the Line for us), most of that starting current is not producing torque because the stator frequency is much much lower than the rotor frequency, so the power factor is extremely low and most of the current is reactive, not active. Yet when considering DOL or RV starting issues with regard to current, current is current and cannot be ignored.
But a VFD is very very different in how it ENERGIZES the motor. The VFD is capable of altering the voltage AND frequency together. This means that the stator frequency can be kept in line with the rotor frequency in terms of producing torque with as much of the current as possible. So for example at running speeds, the frequency differences can be kept at slip speed, but for stating purposes, it can allow the motor slip to increase to the Break Down Torque (BDT) point of the motor at any time. In most Design B motors, BDT is actually HIGHER than Locked Rotor Torque (LRT), 220% vs 160% of FLT. However when starting DOL, you only get LRT at first, BDT only occurs after you already achieve about 80% speed. So because a VFD can give you LRT or even BDT immediately, it can actually accelerate an AC motor FASTER than DOL in many cases. In addition, since the current is mostly active, not reactive, current percentages will follow torque almost 1:1. So in getting 200% torque for acceleration, you will only pull 200% current.
So when a VFD provides an Overload Current rating in percent, Constant Torque rated drive will say 150% current for 60 sec., but also give you s second value, usually 200%, for something like 3 seconds. What this means is that the VFD can make your motor deliver LRT for 60 seconds and BDT for 3 seconds if necessary. A good Vector capable drive can deliver that BDT at as low as one Hz, so essentially immediately, which can be very helpful for overcoming "stiction".
Bottom line, you do NOT need to consider a motor's starting current when selecting drives, just the motor name place FLC and the nature of the load.
"You measure the size of the accomplishment by the obstacles you had to overcome to reach your goals" -- Booker T. Washington