Right. If you're spending your time among developers to whom the code part is second nature, the differentiating thing becomes domain knowledge. If you spend your time among people of that domain who have no coding skill, to them it will appear to be the opposite.

I think there is some prestige factor in the background too. Being seen like some kind of code monkey is to be avoided like the plague. Business people really don't value the math savant engineer nerd archetype who just codes and codes.

Highest prestige is always taste and judgment, not correctness and skill. This is why people will also talk about how business soft skills, communication etc are more important than hard skills like programming, math, etc. I think one should be careful with this. On the one hand it's true that career progression is quite dependent on soft social skills, but there are also really hard kinds of software jobs where cognitive horsepower and technical experience are absolutely crucial and soft skills won't save you.