no, most CTOs do not have PhDIf you work in a company, your job is to maintain and develope the companies' information system to better facilitate business as well as watch out for the budget.
Which one do you think is more useful? Relevant working experience in the industry or a PhD degree ?
to be more specific
For example, do you think spending 5 years doing research on some advanced AI topic or 3D graphics will help you better understanding which VPN technology to deploy globally and which vendor is more suitable for your company and how to negotiate with them?