Of course it's the OP's call to make. Most companies have a finite set of resources from which they can draw to reward employees, except maybe defense contractors.

If someone is not competent and is hurting the team effort, it is not badmouthing that person to express your concern.

You can express concern about an underperforming team member but not in the context of a raise. Don't tie your own raise to someone else not performing. That's the point I am making. Ask for what you deserve based on what YOU think you are worth. Otherwise, you are basically saying "The other person who is shitty gets paid more than me. I am less shitty than them. So pay me more".