Hard to tell 100% without being present on site but that's my guess, yeah. I've very rarely seen "natural" forests being completely wiped out like this as a result of strong winds, the worst that can happen is some older trees being knocked down here and there, but, as I said, I've not yet seen "natural" forests being completely knocked down as a result of one wind-storm.
I also suspect those were planted forests because you cannot use that wood as raw material for Venice's Arsenal for centuries past without planting something in return. I suspect the planting continued even after the Arsenal itself and wood-shipping in general were no longer a thing.