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No. The earth doesn't get flat no matter how much people you get to believe it. As for opinions, they're still just opinions. There's no right and wrong opinion.
If you describe an opinion as right or wrong, you are talking about the opinion's relation to reality. And opinions certainly do have such relation.
No, whether or not you like the colour blue does not matter to reality. Whether you consider it blue is, but that is not an opinion.
opinions aren't fact. They're just a subjective bit of meaning you've got in your head, and only in your head.
Nothing matters to reality. "Mattering" is a human judgement. "Fact" is also a human judgement. The things you have in your head that you call facts and opinions are both the same kind of thing. We consider the ones that model reality effectively to be facts. They are all opinions and discerning which we classify as facts is an ongoing process.
I did not say opinions are fact. And I am not saying that opinions change reality. But your assertions about what facts and opinions are is incorrect.
Ehen we're going into the more abstract discussion of facts and opinions, it might be better to define how you're using these terms rather than throw accusations.
Most people define fact as "a thing that is true". And opinion as "how one feels about something".
Personally I prefer to use fact as "a statement that can be checked". But in every day conversation like here, I don't. Because that would just confuse most people.
What are you using?
Bob makes a precise observation and thus concludes that the earth is round.
Rob is told that the earth is round, in school, and thus concludes that the earth is round.
Are they both right?
Jerry was home schooled by his uncle, and has been told the earth is flat, and concluded the earth is flat.
Jerry is wrong. When Jerry tells his friends the earth is flat, he is not lying. Just wrong. When Bob says the earth is flat, he is lying. Knowing full well it is round.
Jane was taught that the earth is stretched a little bit because of the centrifugal force of it's spinning.
Jane is also right.
Bob and Jane had a conversation about the shape, and experienced a thing called nuance. It's not perfectly round after all.
Ha! You believe in a spherical earth? What a fool! It's actually an oblate spheroid! Peasants.
Nah, it's a turtle, duh
Yes. If, back when people believed incorrectly the earth was flat, someone played a joke on Cob and told him the earth was really round and he believed it, he's correct too. Even though someone manipulated him into believing something they themselves didn't believe.
Your question makes no sense if you put yourself at the receiving end of the manipulation.
In other words:
The one who tells thing can be right (or wrong). The one who is told things does not have that question.