Actually, not all that important. Teslas have e-fuses all over. But, like nearly all fuses (e or non-e), they work on heat.
A loose connection (that's why one needs torque, so it's
not loose) is a-gonna generate a lot of heat.
Look at it this way: Put two pieces of metal in incidental contact, just laying up next to each other. From the beginning, there'll probably be a near-short between those two pieces of metal. But metal oxidizes because, well, it's metal and there's oxygen in the air. If one wants to think about it a bit more, your typical air pollution has SOx and NOx in the air, not to mention H20 molecules, and, well, the metal will corrode over time. Corrosion products have more resistance than thin oxides, power gets dissipated in those corrosion products, and the module and e-fuse will get hot. I've seen stuff like this near 12V battery terminals that weren't crimped properly: Stuff got hot enough to actually
melt the copper.
Now, when one torques down a pair of conductors (presumably with a bolt going into a screw hole, or a screw, and even with lock washers and the like), the conductive metals are firmly shoved together and, at a microscopic level, mushed into each other (especially with tin), making an air-tight connection, excluding molecules of O2, SOx, NOx, and H20. Done properly, a connection like that can go for decades or even a century before it deteriorates. And heating? Nope.
Don't know why they changed out the battery, unless it got discharged during all the fun. A fully discharged 12V battery isn't long for this world, so maybe they did this as a preventative. (As in, Get Out! And Don't Come Back!
)