Semantics is hard. Difficult.
There is a ‘my’ in open source; there may even be several. There may be more of an ‘associative my’ than ‘possessive my’, but so long as there’s some of either, there is semantically a ‘my’ in open source.
There may also be a ‘my open source’ as distinct from ‘your open source’ and ‘some third party open source’, as instanciated by the distinction between Azer’s notion, Karl’s notion, and notions expressed in the comments.
The semantic difficulties are bound to be factors in making the understanding and competing claims more difficult to agree upon and hand along from one generation of developers to the next.