Reading the draft bill it's not just web tracking - all IP connecttions would be covered...
INTERNET CONNECTION RECORDS
What are they?
44. A kind of communications data, an ICR is a record of the internet services a specific device has connected to, such as a website or instant messaging application. It is captured by the company providing access to the internet. Where available, this data may be acquired from CSPs by law enforcement and the security and intelligence agencies.
How are they intending to which Specific Device on a LAN behind a router using DHCP is making the connection? If there are connections, at different times, to a number of services from a particular IP address, how can they tell if it is same device connecting to those services?