I don't think it's a "Tech vs Business" problem. Tech is just another part of the business. Every part of the business may have bottlenecks; sales, marketing, support, finance, etc. C-level has to learn to identify the bottleneck in the value chain and improve it until it goes away. You don't have to become an expert in every field to do that, but you do have to ask a lot of questions and use an improvement loop.

It's the same whether you're in manufacturing, distribution, health care, etc. Yes, you have to be able to learn a bit about the field. But just being a domain expert ("knowing about tech") often does not substantially improve the overall output of the value chain, as experienced engineers learn eventually.