As a web designer, one's job is to create art but within certain constraints. These constraints may seem to stifle creativity, but it is done with functionality in mind.
On the contrast, pure artistic expression may come from the depths of our minds and displayed without hindrance. This may be fine for paintings or sculptures, but it is not fine for web design. One must be mindful of the user experience, productivity, and marketability of a website.
If you own your own business or create your own product, you have a license to go nuts. Just keep in mind that the end user may not like your products and affect sales.
It may be argued that an artist working under a constrained environment is a mark of skill. Things like limited color palettes, tools, or software restrictions will fuel creativity like none other. This may be why designers have more success on the professional side of things than the typical art student.
On one hand, artists may see design as not a form of art but rather a business tool. It is to be used a tactic to advance a business model to increase sales instead of expressing ideas. It may come with an artistic edge, but it comes with a rather linear goal in mind.
In web design specifically, the idea is to create a user environment that leads visitors into sales. It is the same concept as a call to action in copywriting but through the functions of a website. It takes a clever person to increase sales through design and doesn't mean that artists have more advanced skill sets.
The design is also a means of communicating ideas or creating platforms to communicate ideas. This can aid those that want to express their ideas, so it is not like design should be unappreciated by traditional artists.
In the end, any artist may become a successful designer with a pragmatic mindset. It takes discipline to hold back ideas for the sake of creating a business model that is adaptable by the common person. On the other hand, creating a website catered to artists may have more leeway. For more information click here https://www.reddit.com/r/web_design/comments/9rlv6j/accessible_colours_and_contrast_are_a_creative/.