Now you're confusing me....
Wake turbulence separation either applies or it does not apply. Currently the direction of turn does not affect whether WTS is applied or not. In the future that may well change with Crosswind ops.
If WTS does not apply, then in the UK the departure separations will be stipulated in MATS Part 1, and amplified by MATS Part 2 which will include means such as the use of the ATM or where specific cases of the use of reduced separation in the vicinity of the aerodrome may apply.
For the UK, operators find the wake turbulence requirements in AIC Pink 72/2010.