Some (mainly older) push button phones also use the bell wire. Some of their reasoning is "unclear", but the assertion that you do not want anything to 'interfere' with your ADSL signal is correct and the best way to achieve that is to have a central filter for the telephone extensions and connect the modem to the unfiltered socket on that. (or run a cable from the filter to the modem). If individual filters are used then disconnecting the ring wire at the master socket should provide an improvement, if filters are manufactured to spec (
BT SIN 346), then they will supply ring voltage to the required pin of the telephone (filtered) socket.
ADSL filters are necessary as the telephones will short out the ADSL signal. The filters do this by blocking the path for the high frequency signal to the telephone socket.