Like mdoudoroff said, Mangrove excels at brassy material, and woodwind - especially oboe sounds.
It can also do plucked bass well, or more nasally pinched almost pizzicato sounds (esp. in constant formant mode), but definitely has more of a midrange plaintive voice, not a ton of low low end, and not for clean flute sines.
A complex oscillator is much more flexible for FM percussion sounds and bell sounds, and anything like thicker double-bass (Verbos HO I find best for cello sounds though) or heavier bassoon sounds with AM or FM partials. Some of the complex oscillators in euro can also do ring-mod or through zero sounds as well, a range more metallic and alien.
FM with the Mangrove I find edgy and unstable, which of course makes sense because itās not a sine carrier with a matched sine modulator.
As a general observation, it may have waveshaping, but to me it doesnāt operate or sound like a complex oscillator. The complex oscillators tend to have several taps of different waveforms across both carrier and modulator, whereas Mangrove gives you two and has a very different self-patching and barrel/air craziness rather than say more typical cross mod function (although thatās technically possible with an external oscillator). So the patching is totally different.
Really on any deep level, Mangrove is nothing like a complex oscillator. But as a single melodic voice it is hard to beat.