The distinction might be something more subtle - I think s good CTO should maintain a deep technical skill, but should do so without putting the technology of the company in jeopardy. I write code, and am a CTO, but I don't write code for our products. I write code in order to continue to develop and maintain deep technical skill. I also manage our technical operations, so I make an effort to a good understanding of the technical areas that are needed to operate - networking, device configuration, IP, etc. In a pinch I am fully capable of making a configuration change to a Cisco switch or a Palo Alto firewall, but in practice I have a team of people that are much better at those tasks. That allows delegation and understanding.