People steal because they can't be bothered to pay for what they want, not because they feel ill-will at being asked to pay.
That's a pretty simplistic way of looking at it. I'm sure people steal music for a whole raft of different reasons - however one common theme seems to be resentment towards big record labels, who in the internet age still have a massive stranglehold on media rights and distribution as well as creaming off a relatively huge proportion of the profits, compared to artists for example.
I think a lot of people are unsettled by the old fashioned model that's still in place, and begrudge the industry for not embracing positive change.
Ultimately the record labels (in the guise of the BPI in this case) don't want to admit that their overall role in the music industry is a lot less relevant than it once was. Clearly they feel threatened about their position and want to maintain the power they once had - it's just a shame they can't do this by providing positive changes that would benefit the consumer (and consequently themselves) rather than trying to impose draconian restrictions on consumers to stabilise their position in the short term.