A well designed, easy-to-use, beautiful website is just a joy to see and use.
And when your client submits your website to various competitions and wins excellence awards in website design given by their national trade associations -- well, you just feel proud of your work. Even though that website may be several years old! It just gives you street creds, and earns big respect from your client. Also, guarantees future work
Think of it this way.... 100% of visitors will see your site design -- and judge or have an opinion of your website (and basically, you the designer). That is not boring... it's nerve wracking and exciting. But not boring.
And now ask yourself, how many of these website visitors will dig in and view your source code or be amazed by your programming? Not a lot. I would say very very few. Once in a blue moon. Maybe even nada, nil, nul, zilch, zero, donut, zot, nought.