No, they’re both demonstrating objectivity hence why in the definition it said (of a person or their judgment) meaning you can judge objectively but you can’t do it without a keyword mind, which is exactly what God did when He defined morality
Objectivity isn’t referring to the judging of anything, it’s referring to the essence of what’s being judged.
The earth is round. It takes a mind to utter the statement. It takes a mind to conceive of what “the earth” is pointing to as well as what “round” is pointing to. It takes a mind to compare the two.
The earth’s existence, and the shape it exists within, does not require and is not dependent on a mind. If all the minds in the universe believed it to be a different shape that would not impact its shape one bit.
Objectivity is talking about the latter concept, not the former. The fact that the mind does not impact the shape of the earth, because the earth and its shape are a part of existent reality, is what objectivity… is.
Morality is not a part of existent reality. You cannot point to it, you cannot actualize it, you cannot demonstrate it. Morality, even your conception of it, is entirely the product of a mind. Hence the truthfulness of any moral statement is decided upon by a mind. We call that subjectivity.
We learned this in third grade.
Definitions are nothing more than an attempt to convey concepts in their most basic form. A definition is not an argument and if you’re going to quote them you should really take the time to understand the concept they are conveying.