Interesting comment about restricting training with W/V >10kts as I have witnessed this myself, although usually only for solo flight. I have been aware of instructors who insist on landing the aircraft themselves when x-wind component or anything other than flat calm conditions prevail though as well. A lot of basic training (well, up to 150 hours on an integrated course these days) is conducted far from home in fairly benign conditions, which is after all, the reason the training was sent there in the first place, and as a consequence, trainees get very little by way of experience or decision making due to weather. Although missed approach procedures are still taught, again in my experience the opportunity to practice - say, at the end of a sortie on very short-final leading to a circuit to land, is not taken often. The demands on making each sortie fit the prescribed lesson length, ATC expectations and busy circuit environments often make it restrictive to do so.
I know of a student who was chopped pre-solo due to suffering panic attacks during the stall entry, every time; parents threatened legal action and was readmitted on condition that training continued with an instructor with a better appreciation of phycological considerations...i.e. don't go near the stall as it upsets the student. Another was found to be taking Diazepam...but only before solo exercises...because they were the 'most stressful'. These are integrated ATPL students on EASA approved courses at big ATO's, no doubt like the F/O in the AAIB report.