Hate to say this, but NO, NO and a big NO.
Designers yes - web designers NO.
A good web designer needs some fundamental architecture skills that are derived from math or science classes which teach you how to break down a problem into smaller bits, which bits to solve first and some fundamental boolean logic.
A good web designer is not someone who throws in bootstrap, jquery and some pretty shit on a website. He/She understand how to break down the HTML/JS/CSS into smaller meaningful bits, how to include these bits depending on where and when they're needed. They understand how benchmarking goes (how long does it take a web server to respond, if the stack is sending a 1MB response from Alaska to Brisbane ..).
I could go on and on about how much I've started to HATE people who copy paste shit, buy a theme, tweak a few colors, find some jquery snippets and animate a headline and go on to call themselves web designers.