^ Not weird at all. Areas of expertise lay in certain areas of the brain. There are some of us, and I am one, who are more proficient and comfortable splitting up tasks between hemispheres than trying to focus them all on one side. I can write with my left, but not as well as with my right. I can throw a baseball with my right, but not as well as with my left. And, there are some tasks that I can do well with either hand, like using utensils.
I feel those who can use both are lucky. When I was 7, I busted up my right arm rather badly. It was in casts for 6 months, and I didn't regain full use of it for 2 years. It was then I discovered that I could do things with my left as well. I had to learn it, just as I had to began with when I was a little kid....Nothing comes without practice....But during that time, I got to where I could reasonably do everything with my left just as well as with my right, and some things better.
The only failing from my experience is that I can't write cursive worth a shit with either hand, so I just print. But I can do that pretty fast.