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Since in the year 1981 we was manufacturers in series of sinus VVVF transistor inverters at 8 kHz carrier frequency, not fully digital, using CMOS series 4000 and 3 EPROMs 2716 to write PWM directly on memories. Development started at the end of years 70s. At that time my friend was developing a digital inverter that was "translated" later to become the HEF4752 chipset, used in many inverters by our competitors.
We can six stepped for higher power motor like >50KW, where inverter switches doesn't respond too fast for the digitally modulated PWM (Space vector or Sine wave PWM) using a DSP or a controller or even a FPGA.
In high power applications, six stepped modulation has higher advantages to motor like:
1, Higher average starting torque output (irrespective of construction of the motor - Axial magnets or radial magnetic field)
2, Can be used easily for high speed motors where any modulation technique cannot be used.
And for de-merits, I think everyone knows the de-merits since he final output is not sinusoidal and it is just near sinusoidal.
Just be careful about the harmonic current at the output of inverter that is too dangerous as I2R losses increase as a function of harmonic current.