I'll admit to being astounded by the level of fraud going on when it comes to CE safety marking. Until I started looking at LED power supplies, I had no idea that flagrant disregard for EMC (and LV safety) standards was so widespread.
The problem seems to be just cost-cutting by the far-eastern manufacturers. None of the switched mode LED power supplies that I looked at had any RF shielding and none had any form of supply filtering. They typically operated at a few hundred kHz and all of the ones I looked at sent pulses at the switching frequency directly to the LEDs, down unscreened wires.
There's long been a rumour going around that the letters "CE" on any Chinese made electrical equipment really means "China Export" as far as the manufacturers are concerned, and that many unscrupulous suppliers deliberately make this marking look near-identical to the EU approval mark. An added problem is that approval is delegated, so when a product arrives in an EU state with a CE mark, there is an automatic assumption that the manufacturer has conducted the appropriate testing and certification. Sadly, this is never checked, so fraudulently marked products can easily make their way into our homes.
The level of interference generated by a reasonably powerful switched mode power supply, with no shielding or filtering is easily powerful enough to cause interference to a wide range of equipment, and sadly copper phone wires make pretty good antennas, so are almost certain to pickup interference of this level.