No, I am not taking anything of value. You still have all the things of value you had before. The difference between a rivalrous good and a non-rivalrous good is not semantics.
If you think that's a dumb deal then you don't have to take it. Pirating it is simply wrong.
Another word for it is stealing.
Is my request reasonable? Do you feel inclined to pay me? Do I incur $1000 of damages if you choose not to?