No. If members gain access to more classified information, there's no exception to privilege in the same way that is created for the NSICOP members. NSICOP members cannot disclose information to the chamber and committees, because they will be subject to the Security of Information Act. Here the information that will be provided is not subject to the same exception, so a member could disclose the information to the chamber and committees.
That said, and I think this is relevant to the example that the sponsor of the bill refers to when talking about the bill, we have certain recent examples—for example, specific briefings at which there might be foreign interference and there's a need to disclose classified information. I don't believe that this is the type of information that the member will then disclose to the chamber if it's very personal about the member. Again, there's always the need-to-know test or principle that is applicable, so it's the government, ultimately, that decides what information it is comfortable sharing with any specific member.