So I did google it and tell you what - your claims are not correct.

There are two types of PV inverters: 1) pure sine wave inverters and 2) cheaper modified sine wave inverters.

The first one - pure sine - is the only one used with grid-tied systems and also with many off-grid standalone PV installations. This one produces a "true AC" and causes no troubles to motors and the AC is as good as the grid.

The second one - modified sine - may cause the problems you mention. BUT! It's typically only used in cheap, low power inverters, e.g. RV/capervan or portable ones. Not really to power up a whole house. If you have lived on that for 2 years, well, tough I guess. You should have invested into a proper pure sine wave inverter like the rest of us did.

So yeah, there's a little bit of truth to your statement but the bottom line is that you have used the wrong tools for the job at hand. Overall the claim is misleading and the generalised conclusion that solar AC is somehow inferior to grid AC is invalid.

Case dismissed ;)