Even though it is a non-normative note, I think an answer can be given by n3797[temp.names]/6
As is the case with the typename prefix, the template prefix is allowed in cases where it is not strictly necessary; i.e., when the nested-name-specifier or the expression on the left of the -> or . is not dependent on a template-parameter, or the use does not appear in the scope of a template.
In the OP's example, the prefix template is used outside the scope of a template, and the preceding nested-name-specifier is not dependent. Therefore, the prefix template is not required, but allowed here.
[expr.prim.general]/8
qualified-id:
       nested-name-specifier templateopt   unqualified-id
Plus [temp.names]/5
A name prefixed by the keyword template shall be a template-id or the name shall refer to a class template.
[temp.names]/1 says that B<int> is indeed a (simple-)template-id.