Nobody said that profit-seeking implies unethical. It was said that profit-seeking companies should not deserve our unconditional trust.
Well the last time I checked I didn't turn a blind eye to my work helping to start a promote a genocide in Burma so I really don't see your point.
I don't think that profit-seeking ever results in behaviour that is ethical. If I make a decision based on my desire for more money then it is almost always going to be a choice not based on ethical or moral values.
The difference is the scale. If I cut a few corners as a independent contractor then at worst my client gets slightly less value from their money.
If I cut corners as the owner of a chain restaurant then my profit-seeking has an impact on the employees I have and my customers.
If I am a major corporation that has billions of users then my profit-seeking has incredible impact.
If so, you'd have to argue why you want to change a neutrally-charged concept into something that carries negative connotations.
Profit-seeking should not imply unethical, no need to twist language when there is already the vocabulary to convey the proper meaning.