Some will say: for powering sensitive electronics... YES I 100% SAY THAT
Did you really consider what mainly happens in >95% of today's electronics? YES I'VE SPENT MORE THAN 40 YEARS ON IT
The AC input signal is rectified to DC before going to a DC-DC converter.
So it makes exactly NO difference if they get a pure sine or a modified sine.
Your statement is an over-simplification. When you rectify pure AC you get a DC pulse that is almost contiguous and the use of capacitors help to mitigate the pulsing of the voltage and current at the frequency expected without clipping, jitter, higher total harmonic distortion and blank-outs. (Blanking is a dead time between the rise and fall of two consecutive wave forms where there is no rise, no fall, just nothing. You can still have 60hz with blanking, but you'll still get straight line dead time.)
A modified wave inverter uses less post processing from the digital signal creating the "wave form" and therefore draws less power at idle, and runs cooler, seemingly more efficient. It's cheaper to mass produce. However it most often has the high total harmonic distortion, clipping, jitter and especially blanking between the waves forms.
A pure sine wave inverter uses more power at idle and much more post processing of the digital pulses in order to deliver the smooth and clean AC wave form.
Circuit designers use calculations based off of a pure sine wave in the rectification and filtering in a power supply. Assuming the 120v or 240v line voltages are clean and purely sinusoidal the psu are specked around the minimum parts and space to provide the various voltages required to operate the TV, VCR, DVR, laptop etc. There is no need to employ additional rectification, filtering, ground plane and capacitance etc. Often there is more than one output voltage of the psu in a device, there may be several. A typical PC psu uses 3.3v, 5v with higher current and 12v. Is anyone willing to fry their PC or HAM equipment in order to save money on a chintzy inverter?
Which is better quality - a class D amplifier or a class A amplifier? Class A is less efficient and runs hotter by design in order to produce the cleaner sound with much lower THD.
The effects passed on by modified wave form inverters can cause noise, digital interference and additional heat in electronic devices.
Board design is more complicated than your trip to Radio Shack to buy a simple rectifier in your overly simple statement.