Lets back up and make sure people understand what were talking about.
For starters, nothing of any quality is other than pure sine wave. Modified sine wave inverters are crap low quality garbage. Square wave junk.
That leaves pure sine wave inverters that are high frequency, low frequency or hybrid.
In the most general sense, dealing with a quality inverter, pure sine wave from a brand such as Exeltech has the best sine wave with the lowest THD. About 1.8%. They handle low power stable loads excellent. If you want to power a server farm, use Exeltech.
Low frequency inverters from a good company have higher THD. Maybe 8% average. Think Sungold. They can keep that sine wave under a load such as a motor. Say a well pump or mini split. High frequency inverter may have a more pure wave, but it has lower tolerance for a demanding load and can collapse. That collapse will let the Genie out of your amp.
Then there is hybrid. Similar technology to a high frequency iverter to turn the DC to AC, but technology similar to low frequency to boost the voltage to 120/230 volts. A very pure sine wave with low THD. And the ability to handle motor loads.
GENERALLY.
High frequency inverter is
100,000 freq Fet dc to ac
20,000 freq Fet 24 volt to 120 volt
Low frequency inverter is
60 hert Fet dc to ac
Boost transformer 24 volt to 120 volt.
Hybrid
20,000 freq Fet dc to ac
Boost transformer 24 volt to 120 volt.
Low frequency is robust as the 60 hert switch frequency is robust. Does not have to work hard. And the transformer smooths and boosts the voltage. They work under demanding loads. But they have a chooped edge wave. High THD. But, under load, they can peak at 300% overload for maybe 5 seconds before the wave collapses and flat tops.
High frequency are the opposit. A Fet switching at 100,000 herts ac to dc and another Fet switching at 20,000 herts to boost the power. They are very clean but can heat easily. And those Fet when overloaded collapse. They have fractions of a second of peak power then a flat top.
Hybrid like Victon is a good middle road. A 20,000 switch fet to get dc to ac with a boost transformer smoothing the already good wave and boosting the voltage. They peak for maybe 3 seconds before flat top. Thats way longer than any audio transformer is asking.
Nosie is noise. Even with a Victon, you have Fet switching at 20,000 cycles per second. That is noise. And it surely has harmonics. Those could be a second at 40,000, third at 60,000 and so on. But hey. Every filter out there is starting its best filtering at 20,000 or so and up. You can follow any battery/Inverter high frequency or hybrid power supply with a filter and remove most any noise. I will of course test mine with my Torus RM20.
Low frequency not so sure. Your talking a 3rd at 180 hert and 5th at 300. Way lower than any filter I have seen. I'm no filter expert.
Maybe something would work to make a pure wave from a chopped square wave. I don't know what that is.