Yes, but also some of the required kit for the Australian SEA 5000 project has already been decided on by the AusGov. Given that the areas of RCN and RAN operations are different, and that there has not been either leaks or statements put out by gov't officials to indicate that the two gov'ts have the same roles in mind for the two projects, it would be a mistake IMO to believe that the two gov't were talking to each other about the bidders.
I could certainly see the bid teams from the same companies talking to each other about the entries for their respective project, but those discussions (if they were even to occur) would be 'in-house' between different divisions of the same company.
If two countries were to have talks about warship designs entered for their respective national shipbuilding programmes, prior to designs being selected or contracts awarded, I would expect there to be some leaks which would provide greater clarity on vessel roles, and/or specific mission systems which are deemed most important, (i.e. a more ASW-focused design, or a significant area air defence role, etc.) So far not only have we not heard anything like that, but we have a fairly good idea when Australia is expected to make a decision, yet there are only rumours about when Canadian will decide.
IMO if the Australian decision truly had the potential to influence the Canadian decision, the Canada would not have the 'cure' process which is supposed to be underway to make the non-compliant entries meet Canadian requirements. Also as a side note, I believe Lockheed Martin Canada is the leader of the team which includes BAE and is offering the Type 26 frigate for the CSC, with a version of the CMS 330. For the SEA 5000 project, it is BAE Systems offering the Type 26 itself, which would have to have the Aegis CMS and CEA phased array radar panels integrated to meet Australian requirements.