In my experience, yes.

As to why, people like working with people who are like them.

Assuming that the development part is good enough, having people skills blows that person away.

I learned my skills from various sources, but I found a coach that took me to the next level. His name is Marcus Oakey. I'm sure he is still teaching.

Yes. In my freelancing life, I met plenty of people where we both agreed I was the better coder by far, but the other charged a higher rate. My people skills are pretty good, for engineer standards. But theirs were better :-)

Good software development is about people skills. No matter how good a coder you are, you can't possibly deliver what the client wants if you don't understand the problem.

And boom, it suddenly became a web development agency.

Or, work on getting better with people?? I'm serious, being 'good with people' is a skill just like writing code.