I don't use my ISP mail account at all because if I switched ISPs, I'd have tell loads of people my new e-mail address (which is why most people bring along their mobile number when they switch mobile providers). The only e-mail I use is either my work e-mail or Gmail, which is why these e-mail-only notifications - presumably to your ISP mail account - probably won't be read by a lot of people. Also, these warnings seem to be toothless - no legal action is taken even after receiving many warnings.
It's interesting that they only mention P2P, whereas streaming and file download sites are becoming increasing popular. BTW, the FAQ linked to spelled computer programs as "programmes", which is incorrect, even in the UK. It's sneaky how they say "an IP address is similar to a street address or telephone number in that it is used to uniquely identify an entity" - most people might think this means it identifies an individual, but all it does is identify a location (and with wi-fi possibly involved that might be a radius around the location).