How does one shop for good power factor?Simple one-way inverters are more vunerable to damage due to poor power factor loads.
Inverters, generators, and transformers are really rated for VA, not watts. At load PF =1.0 the two being equal.
Since losses goes as I^2 * R, the higher peak currents for poor PF to supply average power with short bursts increases losses. This is common to both simple one-way and hybrid bi-directional inverters.
I believe EU standard EN61000-3-2 requires any appliance that draws greater then 75 watts to have good power factor. This is why you see computer power supplies now having PF correction circuitry. CFL and LED light bulbs can sneak in below regulation power limit. Of course, any EU regulation is not that simple with many other conditions like frequency harmonic content and line noise.