I mean, it's in the name. The right to make copies. Not to be glib, but it really is

A copyright is a type of intellectual property that gives its owner the exclusive legal right to copy, distribute, adapt, display, and perform a creative work, usually for a limited time.

You may notice a conspicuous absence of control over how a copied work is used, short of distributing it. You can reencode it, compress it, decompress it, make a word cloud, statistically analyze its tone, anything you want as long as you're not redistributing the work or an adaptation (which has a pretty limited meaning as well). "Personal use" and "fair use" are stipulations that weaken a copyright owner's control over the work, not giving them new rights above and beyond copyright. And that's a great thing. You get to do whatever you want with the things you own.

You don't have a right to other people's work. That's what copyright enables. But that's beside the point. The owner doesn't get to say what you use a work for that they've distributed to you.

Training literally is consuming. A copyright license doesn't get to dictate what computer programs the work is allowed to be used with. There's a ton a entertainment mega corps that would love for that to be the case, though.

You're saying that you're not allowed to do a statistical analysis on a copyrighted work. It's nonsense. It's well-established that copyright does not prevent that kind of use.

A program of machine can be a consumer of something, although if you want to be technical you could say the person using the machine is the consumer. In actual computer science we talk about programs consuming things all the time.