The Part-FCL references that I gave above are still valid and the situation regarding second and subsequent type ratings remains unchanged.
CAP 804, like its predecessor, LASORS, is of limited use, being riddled with errors even when it is maintained up to date. It is always best to refer to the source document. These days, the CAA seems unable to keep up with its own gold-plating, let alone the actual regulations. That's what happens when you give control of aviation to someone who couldn't even run a railway.