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Many web designers are not web developers, so they will use tools that enable them to build beautiful and responsive websites without having to write code or markup.
Some choose to use WordPress with themes like Divi or Elementor. Others will use a different CMS (content management system) like Squarespace or Webflow which are designer tools.
If you're interested in having someone build a website using flat files and no database, you can look for a GitHub pages, Grav CMS or Kirby CMS developer. All are are flat-file CMS solutions that don't use a database.
I personally use Duda for most projects, and will use WordPress or another CMS if it suits the project.
Hope this answers your question. Sites are still built using those technologies, but for the sake of time, management and maintenance, a CMS will help.