Problems are negative. They're scary. They make us worry. They make us feel bad about ourselves.
I'm going to go out on a limb and say that if you aren't drowning in problems, you're not doing it right. If you have a problem, you're self aware. You probably want to get rid of that problem. Eventually you'll find a solution.
The more problems you're aware of, the more problems you'll solve, and the better off you'll be. Eventually you'll get so good at finding problems that you'll uncover other problems and increase your capacity for finding solutions.
Will you always see problems and feel the need to find solutions? Yes. Will you be better off because you see those problems in the first place and fine tune how you design solutions? Absolutely.
My biggest pet peeve is when I see people reject the possibility that problems exist. They see it as defending their legitimacy or saving their product from criticism and negativity. What I see, is a conscious decision not to grow. Every identified problem is an opportunity for improvement. It's what great designers live off of and it's what good companies focus on. I challenge you to embrace every problem. Think of them not as failures, but as essential opportunities for growth over the course of a career.