The new powers that remain in Bill C-13 include granting immunity to anyone who hands over personal info to the police as long as there is no explicit ban on passing on such info - so, police can call on anyone they think may have data they might be interested in and ask for a look at it, with no requirement that they have any reason to want to see that data.
The data holders will not be obliged to comply without a warrant, but they will not be penalised if they do hand over information.