Publishers reps seem to me to rely on paper mail, and an address like "Math Dept, St Michael's College" does provide some kind of proof. But I sometimes get emails like "I am a student in a poor country and the only way ..." and I simply am not saying no to that.
That last sentence also answers why I don't erase half of the answers.
Free texts are a different model and there are a lot of kinks.
The folks who wrote the book this thread is based on have done something great. (I teach Discrete and I had a look to see if I could use it.) But including answers is a problem to which I am unaware of a solution. Or maybe, it is just that expectations have to change.
This does call for a rather more misanthropic attitude than you seem to have, though.
So no, I'm not doing that. :-)