My other hobby is photography, so the same classic rules applies. Personally, honestly I am more of a traditional guy in terms of aesthetic. But one doesn't have to look hard at all for examples that break these rules in photography. I don't expect it to be as prevalent in aquascaping, but the rarity of it seems rather glaring to me.
For styles that emulate nature, I would understand symmetry is a hard thing to pull off. Same thing for landscape photograph, it would be similarly hard to pull off.
But for say Dutch style, I would still say it's not easy, but impossible imho. Many terrestrial manicured gardens, especially those surrounding architecture, are symmetrical. In photography, lines that form symmetry can be a subject unto itself. Symmetry can also be used as a tool of contrast, which imho is an aspect that warrant some exploration.
Just thinking out loud, not that I ever managed to create a symmetrical aquascape that I would like myself.
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While the plants are fake, I think I found one.