Not Quite..
When outside controlled airspace
'XXX Radar' when radar is available and controller wiilling to provide, BUT you will NOT be receiving a Radar service until you have
1 ) been identified AND
2) ATCO has stated that you are in receipt of a radar service.
'XXX Approach' does not necessarily mean that radar won't be available, but that at the moment you request a radar service it is not available.
Oh well, made sense when I wrote it!!!