Hi Ntennies,
First I encountered freeze (requiring hard shutdown) and black screen (with no backlight) symptom, which came progressively from seldom to more time per days. At the end, sometimes the notebook wouldn't even light the backlight once hardshutdowned / powered on ! And that for a random period of time (at my eyes, at this time). Until it would suddenly decide to light the backlight and boot normally.
I first thought it was due to temperature (the reason why I first replaced the thermal paste), but the experience of the symptom showed me that the "no backlight at boot, nothing else than the fan running" symptom was independant of the temperature.
Some days passed and when I had time I tried to understand more precisely the cause of such a behaviour. Until I understood that when I was bending the notebook (moving it with one hand by grabbing it on its corner for example) this had a chance to crash immediately the machine (black screen, fan still running). So I made some tests by bending the machine on one side and the other.
And guess what ? I saw that if my machine was last bended in one side it will display at boot and if the machine was last bended in the other side it won't display or backlight at boot !
I then prayed for an external short-circuit rather than a hardware defect or bad soldering in the mobo and tried the story with the paper stripes you already know.
Since this last modification I can bend the notebook in the 2 directions without it to crash,
To give you an idea : After 8 hours of uptime (with firefox and thunderbird opened), as I was writing this : I just started a film with VLC which caused graphic switching, put the machine in sleep mode (during playback), wake it, plugging an external screen, disconnecting it, connecting a thunderbolt display.
Since the repair some days ago I only experienced one freeze. I recover trust in this machine.
I also have to say that having a windows 7 in bootcamp on this machine, greatly helped me to converge on the hardware cause (as I was also experiencing crazy symptoms from windows).