Yes, design is care.
It is caring about the people who will use your product, and it is caring about the people who will make that product run. To make a great design, you must take care of the two sides of the coin.
You need to care about design to make great design. If you don’t come from the design world but, for whatever reason, you find yourself managing a design team, you need to care about design first and business later.
If you are a designer, you need to care about the implications of your design. Ethical, emotional, political, and business implications.
To design just for beauty is not design, art, maybe.
I see too many companies and designers that are careless. They want to get money from their users, and I hate that behavior.