> you can prevent all memory safety errors by using a garbage collector

Garbage collection and a higher-level language that controls allocations handles 2/3 of the memory-safety problem space (using memory you shouldn't via use-after-free, or using memory you shouldn't before allocation/via arbitrary address access), but the other 1/3 isn't addressed by GC: out-of-bounds access on properly-allocated structures.

GC-or-not doesn't stop a pointerful language from addressing memory off the end of an array, and the best techniques we have to deal with that today are imperfect (but still pretty good!) compiler inference for BCE, memory protection to limit the scope of possible overreach, or slowing down runtime by inserting checks.

The rest of your points are well-taken; just pointing out that GC isn't the solution to all causes of memory-unsafety, just 2/3 of 'em.