To some extent it does, simply because of "why should I pay ${exorbitant amount of money} if I can torrent it for free?" consideration. Which is, IMO, a fair consideration, as we're talking about goods that are infinitely reproducible for $0.00 marginal cost. The availability of piracy does cause problems for "legitimate" distributors, but this doesn't automatically imply torrents are bad and labels have the moral high ground.
The core of the problem stems from the goods being infinitely reproducible for $0.00 marginal cost. Such goods inherently don't work with the scarcity-based business models invented for physical items. Media companies are doing the world great harm by trying to brute-force this impedance mismatch by legislation and technology.
"It lowers the price everyone is willing to pay for the item". Not really. This is happening because the supply of music continues to grow each year. I can't find the article, but a (I believe) French economist predicted this would happen decades ago (1980s?)