Would an anthropologist say it is right for us to re-interpret discovered ancient art whose purpose we no longer can understand?

There's nothing wrong with interpreting art in whatever ways, for whatever purposes, just so we remember the context of what we're doing and don't impute meaning into the minds of those who created the art. It can be tricky to avoid the latter. Things have a way of getting etched into popular imagination. All the more so when the interpretation is speculative and might well be accurate, but we can't know for sure. People in general are quite happy to ignore hedging language and take conjecture as fact. If it might be true or seems likely to be true, and the idea gets repeated enough times by enough experts, after awhile, ehh, it's just part of what we know about the world. However, that dynamic is not all that nefarious. Ill-formed assumptions can always be freshly punctured, as long as experts exist who do know what they're talking about and are properly grounded in epistemic modesty.

/r/AskAnthropology Thread