I don't understand how something can be dependent and not dependent in the same sense. I.e. you think and don't think red is the best color to you. If it is objective, then it is not dependent on what you think, but it is dependent on what you think.
What is it you mean by objective. That I understand that you think red is the best color? Well, yes, I can choose to accept and state that you think that red is the best color.
So for me, it is objective that I do this: expressing or dealing with facts or conditions as perceived without distortion by personal feelings, prejudices, or interpretations. Yes, that is objective as something I do, but what you do, is not objective.
It is an objective description on my part that you claim, that you subjectively think that red is the best color.
Sure if that is what you mean, then yes, we can call a part of it objective, but not all of it. What you do, is not objective, no matter how much it is objective to me.
And it still doesn't meet the conditions of this version:
of, relating to, or being an object, phenomenon, or condition in the realm of sensible experience independent of individual thought and perceptible by all observers.
Definition of OBJECTIVE
So, no, for that version there is no objective evidence.