Saying that it's incorrect implies that there is a correct answer to the question of what the most delicious ice cream flavor is. I agree it's a category error, that's why correct/incorrect don't apply at all.
It is a false statement, not in accordance with fact or truth, or incorrect.
To the bold, no it doesn't. You are incorrect because your proposition that there can be a most delicious iced cream flavor is a category error. Your statement is incorrect because it doesn't mean anything.
Saying the statement P "Chocolate is the most delicious iced cream flavor", is incorrect, or false means it's antithesis ~P is true that "Chocolate is not the most delicious iced cream flavor".
Which doesn't imply that there is an iced cream flavor that is the most delicious. It is incorrect because there isn't one, it's a category error.
I can draw the squarest circle. < Incorrect F
I can not draw the squarest circle < Correct T
The negation of a impossibility is a truth (outside of some technical semantic based language issues).
The difference in consequences is more about how strongly they're felt. How strongly someone feels about murder or my ice cream choices aren't a matter of objectivity, but subjectivity. If you did care very strongly that I love chocolate ice cream, you wouldn't be wrong or right to do so. If you cared more that I ate some chocolate ice cream than you cared that I murdered a person to get it, you wouldn't be wrong or right either.
Of course people are less likely to care about my ice cream choices, it isn't a common thing for people to care about, but the amount of people who care, and how strongly they feel about it doesn't have a bearing on whether or not they're right or wrong to feel the way they do.
Why we care more depends on how much it effects us. Our feelings are meant to help us interact with reality (that's what they are for). When they are working as in this case, we are accurately assigning more emphasis to the things that matter to us as human beings more, ie, those things of more objective consequence.
We don't exist in a world where people take trivialities such as iced cream preference as seriously as we do murder because our morality, and our value systems interact with reality and have objective components and inputs, and thus morality, how it really operates, is based upon objective facts of our situations and our persons.
I disagree on how you've been talking about value. It's a verb, sure. But I value ice cream, and the fact that I value it drives me to act. The act isn't the valuing. To value something is to have a feeling for something, nothing more. How strong that feeling is affects what behavior might result from it.
And I think that action is the only reason to have morality in the first place, otherwise it would just be a set of ideas you had.
I think how you act displays your actual values, in that if you act contrary to what you believe your morality is (which happens plenty), that the actions you take are what you truly value.
When I say you value iced cream I mean that you take action to value iced cream, I don't really need to evaluate it beyond that. It can be based upon feelings or reasons intellect ect, it's not just about your feelings.
So, you might value say, your health, and consider good nutrition a key aspect of your health. Then take actions to make sure you consume a balanced diet. This value might or might not take precedence over your everyday feelings, even push aside a desire to binge eat iced cream (that you also find delicious and value as inexperience you enjoy).
So, here I can make my own judgements on your values if I see you regularly eating a balanced diet as a result of valuing your health, or if I see that you have a serious problem with binge eating iced cream and are overweight, then I can see that you value the experience of eating iced cream instead of your health.
The person that values binge eating iced cream above their health can certainly have those values, they can feel right to them, but then they can't turn around to me and say they ultimately value their health because that is how they "feel", it doesn't work like that but people could actually do exactly that, if that is what they feel is true and they feel like they should be valuing their health and that they really like the feeling of eating iced cream too.
All of this is still about morality and values though, and here I can say that I think this persons stated value system is incorrect with respect their actions.