The whole (over)insistence on using the determiners in general seems to be a relatively recent innovation as well, the articles being a large part of it. I am talking about constructions like "he shoved his hand into his pocket and pulled out his wallet" — why not just "he shoved hand into pocket and pulled out wallet"? The context is pretty self-evident, and if you really need to specify some deviation from it (he shoved his hand into someone else's pocket, but still pulled out his wallet), you always can do it by, you know, using the determiners; except now they actually will be non-redundant.
I'm going to guess this could be a bias from speaking English. In romance languages, for example, you would often use an article rather than a possessive pronoun for this type of construct.