No. Stop. You specifically said this:
Of course there is a difference between a coerced action and an non coerced action, the former means that you are being pressured or forced to act against your will, and in the latter case you are not being pressured or forced to act against your will.
There is no discrepancy between the two remarks, I simply fleshed out the first remark by adding more detail in the second.
As an English speaker in a community of people who know English, I may choose to distinguish the former from the latter case by using my mouth to utter a certain string of phonemes. Specifically, the vocalizations that comprise the word "free" followed by the word "will". You just said (literally, word-for-word as I quoted above) that there is a legitimate distinction to be made between coerced and non-coerced actions. An English speaker who is using the words "free will" to refer to exactly that distinction cannot possibly be wrong, unless you argue that your use of the word "will" is the only correct use.
As 'an English speaker in a community of people who know English' you should understand that words are symbols used in reference to articles for the purpose of communication, and not the articles themselves.
The word 'moon' is not the actual moon, which is an object that has its own features and attributes regardless of the names we label it with, Lunar, Moon, etc.
Now, if the architecture and electrochemical activity of a brain is is deterministic and therefore its output (feelings, thoughts, decisions, actions) is determined by neural condition, 'will' - a word that is used in relation to feelings, thoughts, decisions, actions - cannot be defined as being free (will has no independence, it cannot choose to do otherwise) regardless of the presence or absence of coercion.
If the system is free from coercion (coercion is absent) the word 'free' specifically relates to the absence of coercion and not to the state or condition of 'will'
Lets say that the police catch a addict in the act of an armed hold up. The put him in handcuffs, drive him to the Police Station where they put him in a cell and then remove his handcuffs through the bars of the cell.
The addict is now free from his handcuffs, but this freedom from handcuffs says nothing about the condition of the addict as a whole. He is free from his handcuffs but he is locked in a cell, he is not free.
The word free relates specifically to the article; the handcuffs (the handcuffs have been removed.)
Similarly with coercion, if there is no sign of coercion, one is free from coercion, coercion is absent, but this tells us nothing about the overall state or condition of the sole agent of 'feelings, thoughts, decisions, actions' - the brain.
The word 'free' specifically relates to its article, in this instance 'the absence of coercion' and nothing more.
This doesn't change because 'an English speaker in a community of people who know English' may erroneously extend the reference into an area where it doesn't relate.