I have never seen this. My B737 Operations manual says no such thing. Previously my B747 Flying Manuals for RB211 and P&W models (747-100,-200 and -400) had no such definition. Simply +10C and below and visibility 1500m or less with visible moisture. I have never heard this 3 degree split mentioned.
I'm not saying it is wrong, but no engines are experiencing any problems when not operated that way!