The coumpound described 'Phtalates' is a technically a plasticizer. A lot of plastic structures are naturally brittle, the purpose of Phtalates is to intercalate in the lattice of the plastic structure and give it some flex.
So even if you are using Phtalate free plastic, assume that if it has some flex it will likely just have some other chemically similar plasticizer. So as a general precautionery principle avoid plastic all together until we have a better picture of the science around it.