Hi Ziyad,
I hold EASA licence only, I do not hold FAA A&P Licence but have studied material for the FAA system in the past.
The EASA part 66 syllabus has been modified over recent years to include certain technologies from the A380 and 777 specifically (Fibre Optics, IMA and modern cabin systems). I cannot say if the FAA questions now include this but there is a question book available to purchase with all FAA questions.
Whilst I agree that studying for a licence gives you new knowledge, I would say it is inherently different from 'Training'. Training to become a mechanic and the experience from that point is 'training'. Studying for your licence after this point is just that 'studying'.
It is only my opinion using the licence study notes as basic training material misses out a lot of beginner steps which should mastered to gain a good grounding before building up on this.