> obsession with precise terms

They’re not really even being precise. The relevant software freedom, from the FSF is []

  The freedom to study how the program works, and change it so it does your computing as you wish (freedom 1). Access to the source code is a precondition for this.

Some might argue that without the training data you couldn’t do some classes of experiments to see how it works, say leave-one-out retraining. I’d argue things like that are not really about the model but about ML research or the class of models, which while interesting is not a free software pre-requisite.

[] https://www.gnu.org/philosophy/free-sw.html#four-freedoms