Web design vs Graphics design, my honest opinion

A few days a friend came to me with a question. I believe it was a result of looking a web design as a tough game. Since profound web designers have to pull off a lot of skills to be able producer an above average website.
Her question was. Of graphics design and web design which one is smaller than the other? Find what I answered below.
Though the answer I gave to her was brief, let me try to elaborate.

By definition.
Graphic design is the process of visual communication and problem-solving using one or more of typography, photography and illustration. – Wikipedia
Web design is the process of creating and updating websites.

Web designers may have some level of graphics design skill say they the ability to use graphics design applications such as Sketch or Photoshop or Adobe illustrator to create web layouts and mock-ups which are the static and none functional representations of a website. It is also true that web design encompasses numerous disciplines such as User Interface design, User Experience design, Information architecture, navigation ergonomics.
I will categories graphic design into two primary categories .i.e. Screen and print graphics for more clarity. For whichever element that is designed but won’t be out put through printing on paper, wood, metal, clothes etc I will consider that designed for electronic screen display hence have under screen graphics contrary to it’s sibling which is targeted for print media.
Websites are among those products that will be designed following all graphics design aesthetics and tools but will be primarily accessed on screen devices like desktop computers, laptops and hand held devices.
To conclude, I will say web design is a discipline in the graphics design ecosystem. Other disciplines could include motion graphics, video editing, animation, logo design etc.
Do you have a your own opinion, criticism or suggestion? I have opened and allowed to receive your comments below.