Definitely. This is because design is an overloaded term. Creating a great looking website is a kind of design, in the same sense that interior decoration is a

Definitely. This is because design is an overloaded term. Creating a great looking website is a kind of design, in the same sense that interior decoration is a kind of design. But there's another kind of design which is more about solving problems or achieving some result given a set of requirements and constraints. This is the sense in which design is about "how it works" and not "what it looks like". Both are valid and useful, I just wish that there was a richer taxonomy to describe such different activities. In the same way that telling someone you're a programmer can lead to them asking you to fix their printer, telling someone you're a designer can easily lead to them asking you to pick paint colors, or make a logo for their school newsletter. From the outside, these seem like overlapping activities, but they are often unrelated.