"Any software problem" includes these two extremely common problems, neither of which has anything to do with Turing completeness:
* It needs to do something fast
* It needs to be written quickly
Execution speed is clearly not the reason why multiple programming languages exist, because assembly is as fast or faster than high-level languages. Rather we use programming languages because they are easy to understand and reason about, allowing us to work quickly, among other things. The usability of a language is impacted by things like whether it has automatic memory management, or whether it uses functions instead of gotos, but also by the vocabulary it uses. Consequently, I see the vocabulary of a language as not particularly different from those other attributes.