No, in practice we both specify what people are or ought to be free to do or be
and what restrictions they ought to be free from. Both are sensible ways of discussing what is meant by "freedom" in a specific context and what kind of freedom (or definition of freedom if you prefer) is valuable and which isn't.
No, I don't think deception is a restriction on free thinking... most of the time. As I've said, there are some cases where it is, such as fraud. But most of the time, no. And, for the same reason, education is not a restriction on freedom in the way you describe. Hate speech can indeed incite violence, and it is possible that in some circumstances there is an argument for restricting it, but it does not itself violate anyone's freedom, so restricting it is (if and when it is ever appropriate) a case of doing something bad to prevent something worse from happening.
You are ascribing motives to me that are unfair. I think the "restrictions" you are suggesting, such as education, simply aren't restrictions. It isn't a matter of not thinking they are because I want restrictions to be bad. It is a matter of not thinking they are because they aren't.
I'm not totally sure what you are talking about regarding childhood, but I will attempt to answer what appears to be the core question. Specifically, I would quite happily say that there are all sorts of things that restrict a person's choices, their "freedom" if you like, but don't restrict the kind of freedom I have identified as morally relevant. For example, my lack of a private plane "restricts" my choice to take my private plane when traveling. But this isn't a choice that belongs to me, so the fact it is "restricted" in this way isn't morally relevant.
No, a right is not very different from freedom. I think, properly understood, rights are ultimately about the kind of freedom I have been discussing. To have a right to something is to have a choice of whether to do that thing, or what to do with that thing. For example, a right to life entails a right to die, a right to speak entails a right to stay silent. I'm very happy have any future discussions without the language of rights. I should say now that doing so wouldn't quite be accurate, as I would say my theory aims to protect the thing at the core of rights theories, rather than rights themselves, and there is some baggage associated with rights that isn't applicable, such as rights being trumps and each right being kind of seperate from each other one, rather than a single underlying value as I would suggest. But, bearing that in mind, we can talk about freedom consequentialism as a consequentialism of rights from now on.