I am not sure I believe that issue is logic board related. I've worked on thousands of Macbooks over the years and I can't really think of any time a spontaneous power off issue ended up being the logic board. I'd look into the logs and try it with a different top case. The power button could be having an issue and sending the signal to power off. If you don't have another top case, remove the current one and turn it on by jumping the connector the top case connects to with a T8 size screw drive, furthest to the left of the connector on the board. There are pads on most boards too but this is the easiest. Honestly, I've worked with enough Apple techs (while working for Apple for almost 3 years) to know the most of them are awful and would never trust any diagnosis given to by one. Maybe it's not as bad in other regions, but where I used to work there was a reason why people would have machines come in for repair and they'd get them back with 6 parts replaced for a simple issue. It's because the techs are terrible and just throw parts at machines because its easier to do that than troubleshoot.