What is web design?
I think the question would be a little stupid, but hell, I need to know it first. Because I prefer to call Web Architecture or Web analytical instead. These are why…

Web design, as in all kind of design or a specific design
What is the content of the “design” in web design. It is the effect? The structure? The arrangement? Or the guide on a webpage? Which one is the core job of the web designer? Designing a web site shouldn’t be a web designer, but a web architecture, because one need to know how to structure the whole layout, then guiding the visitor from one part to another.

Web designer are multi talent already
If you’re still speak about design and design only, I would suggest to go for a design firm instead. Some of my ex-colleagues still keeping web design as a topic, which I think it is a little out of date. Web designers nowadays is more than just design the layout, there are a lot of area they explore into. For instance, cutting down the resources, solving web technical problem,
Web trend then web copy
Some say follow the recent “we trend” some say it is copying the design. I would say it is just the way of web appear to the people now. Web cannot be copy unless, you clone the exact same one, else it is not a copy, but a trend people following. Big typeface, gradient background and etc are the web trend now, are they copying each other? Not likely.