FIGHTER CONTROL SPEAK?
Intercept controllers used to be taught target information in the format
240 twenty, left-right heading 320
242 sixteen, 22,000 decimal eight
245 twelve, left right heading 320
The added information about relative motion was to aid fighter crews better to picture what was happening in the days (not long ago) before other systems, and when AI radars were less reliable than they seem to be now.
Obviously the use of the relative motion info is intended to enhance understanding for those without radars at all. In my experience, the call 'left to right' is not intended to indicate whether the confliction is likely to pass in front or behind you, unless additional info is given (eg 'crossing nose' or 'should pass behind')