ADSL is designed ( because there might be 999 other ADSL signals in that lovely big 1000 pair line leading to the DSLAM) to be relatively non radiating on proper wiring. The signal is carried on a twisted pair, and is overall designed to have almost no common mode component, as that will radiate. The phone wart though, will put a common mode signal down the line, and the whole line, both upstream to the DSLAM and carrying on past you, will radiate it as it is coupled to the other pairs.
With your phone line it is best to put an ADSL line filter right at the line entry, and split the phone line into 2 branches. One set, with the ADSL signal greatly attenuated, goes to the phone wiring in the house, while the other signal, with the ADSL and the POTS as well, goes via a very short twisted pair cable ( I used some old CAT5cable, as it was both free and recovered cable and also I only needed 1 pair) to the modem.
That way you get both better ADSL data rates, as there are reduced reflections on the stub lines, and there is lower line loss up and down. Plus you also have less phone line interference, and as a bonus less common mode hash from phone line power supplies carried up the line. I will guess the guilty party was a Siemens DECT phone base station, with the tiny power supply they use on them. Amazing that the whole board in those phones is double sided SRBP, with electroplated traces on the 2 sides, and conductive ink via's to join the 2 sides. Then the RF stuff that needs controlled impedance is done with a small module, with mouse bites, soldered to the board.