Shmal, kudos for finishing the quest! Indeed, the simplest, robust and most cost-effective solution is to provide permanent power to the slot by removing the power MOSFET and by soldering jumper wires instead. There is also a number of other options like lo remove control MOSFET and replace it with a resistor or trying to replace the power MOSFET and hope the new one will work longer. But as I mentioned it earlier, simple jumper wire works great in this case and it is really bulletproof.
In generall this NAS is really good and pity it has this issue. I believe most of the devices are out of warranty now and it is safe to share this fix because it will help some people to save a lot of money and avoid unnecessary frustration.
!!!!!!!!!! BUT AGAIN, YOU WILL VOID WARRANTY AND ANY UNAUTHORIZED/UNPROFESSIONAL MODIFICATION CAN DAMAGE YOUR NAS. IT ALSO REQUIRES SOLDERING SKILLS AND KNOWLEDGE HOW TO PROPERLY HANDLE DELICATE ELECTRONIC COMPONENTS !!!!!!!!!!!!!!!!