Yup. The nature of the change in JQuinton's question was a change in the available evidence. (A quibble: this is not perfectly Bayesian, since adults ought not to treat toys in psychology experiments as exchangeable with toys encountered in the wild. I'd posit that Thinking, Fast and Slow is relevant here.)
This recent article at Slate thinks so:
Why Your 4-Year-Old Is As Smart as Nate Silver
There also seems to be a reference to the Singularity Institute:
(Of course, I don't know how many other AI researchers are using Bayes Theorem, so the author also might not have the SI in mind)
If children really are natural Bayesians, then why and how do you think we change?