Rolaaand
you have not been wrong the phraseology is not standard for use over the R/T, but that does not mean you cannot transfer an A/C on a 'Radar Heading'!
I think the way some ATCOs work is what causes this phrase to be used. "Report your heading" promptly followed by "continue as a radar heading" is often heard..... why - if the heading is good, they do not need to know what that heading is before making the pilot stick to it.
It can be done in one transmission with the phrase "continue present heading, report it" or if when assessing the track a turn is needed "turn L/R XX degress and report the heading"
I suppose it could stem back to the days of part radar, part procedural, when you could maybe have locked an A/C onto a particular heading when it was tracking to/from a VOR without recourse to radar,but I honestly don't know how that would have worked without some radar back up. Maybe one of the older members can enlighten us - Alzheimers permitting.