There does not need to be intentionality for people to interpret it. Humans have interpreted intentionality behind natural phenomenon like the weather and constellations since pre-history, and continue to do so.

And I contest the original claim that AI art has no intentionality. A human provided a prompt, adjusted that prompt, and picked a particular output, all of which is done with intent. Perhaps there is no specific intent behind each individual pixel, but there is intent behind the overall creation. And that is no different to photography or digital art, where there is often no specific intent behind each individual pixel, as digital tools modify wide swathes of pixels simultaneously.

The Rorschach test is quite literally an example of people finding meaning in randomness.