I think this gets it entirely upside down: There is meaning and symbolism and patterns everywhere, but we can
never be sure our interpretation matches sone intent, and I see no compelling reason to see that 'intent' as more than complex computation anywhere, and pretty much everything, everywhere is computation.
There is context to a storm, or a tree too. Many things have more, and more complex, context than human intent.
Intent is just one categorisation of data, and it can be interesting, but so are many other categorizations of data.
And we also often get authorial intent wrong, often embarrassingly so.
It also compels me to see the dismissive attitude to AI art as fundamentally flawed, in that while we're clearly not "there" yet, I see no fundamental conceptual difference between different forms of computation - including the human mind - so any dismissal of the "just statistics" kind to me is an attempt to imbue the human mind with religious characteristics I fundamentally reject.
At the same time, to me, that attempt denigrated human art, which to me is equally just a result of computation.
If you can't enjoy art unless you think there's some spark of something more behind it, then to me the only reason you fail to reject human art too is faith in something there's no reason to think I'd there.
Nothing we know suggests we are - or can be - anything more than automatons resulting from computation any more than the trees in a forest or waves on a beach.
Yet we still have intent, even if it is just a product of computation.
And we still produce beautiful patterns that I enjoy whether or not I recognize your intent, and whether or not there was any intent behind any given aspect I enjoy.