Forget sympathy for the machine; the real reason we need programming languages that prevent issues because we should have sympathy for the poor humans who are incapable of reasoning about anything but the simplest code without hitting the limits of their hardware. I'd argue that for virtually all humans (whether developers or otherwise), the brain is like the world's worst runtime for code imaginable. The maximum memory is absurdly low (how many variables can you really remember at once?) and prone to corruption that makes C look like a heaven-sent solution to undefined behavior (how many parents of multiple children do you know who never accidentally call kids the wrong name? my average length between calling one of my cats by the name of the other is like, a day at most), and the speed is laughable (time for a single division operation is on the order of entire seconds).
The widest integers in the world will not stop us from writing buggy code, and I think we have bigger fish to fry than BigInts