No, Section 2 of the BCL doesn't say that at all (to me).
When Section 2, part (iv) says you can only redistribute "subject to a license ... consistent with the terms in this Agreement..." I take that to mean that the BCL applies to each receiver of the software. When you pass on the Software, you pass on the license, in total.
And Section 1 says "use internally ... for the sole purpose" of developer support. This applies to any use of the software, whether you get it direct from Sun or by FedEx from an Open Source pure-hearted goodnik. The point isn't the redistribution as such, it is the limitation on the use, a limitation which I am concerned many users of open source software may not know about.