No need to do this! Just gently pull up the felt-pad sticky on top of the thermal sensor (looks like a tiny circuit board), then (again gently) peel the thermal sensor off the ODD. Leave it hanging while you remove the ODD and replace it with the SSD, then just put the thermal sensor covered by the protective felt-pad back onto the SSD enclosure.
I did not have to remove a single cable! After undoing the torx screws from the sides, I was able to rotate the LCD out of the way enough to reach all the screws holding in the ODD bracket. One of them was a bit challenging to get to, but I never felt that I was risking the cables by leaving them connected. Also, it wasn't totally clear, but you have to actually remove the ODD itself from the ODD bracket - 4 torx screws. The SDD mounts into the hard drive enclosure, then the enclosure is screwed into the bracket. Those holes (enclosure <-> Bracket) did not line up correctly for me, and I had to go with only three of them connected in the end. Seems to work fine.