llanfairpg, when you say "my" syllabus is that your personal one? Maybe my AOPA syllabus needing an update but the one I have does not mention emergency avoiding action.
I was never taught avoiding turns in the PPL as such...I was told that steep turns were useful for avoiding aircraft...but with the emphasis on height control and co-ordination they were not taught as an avoiding manoeuvre. I was briefly taught avoiding turns as an RAF cadet...roll on about 80 degrees angle of bank instantly and keep a bit of back pressure to stop excessive height loss.