That is not free will, it is the label that is being applied by compatibilists.
Sorry, but we've already dispelled that myth several times now. You can pick up any general dictionary and find both the operational notion of free will and the philosophical notion of free will. For example:
Free Will
Mirriam-Webster on-line:
1: voluntary choice or decision 'I do this of my own free will'
2: freedom of humans to make choices that are not determined by prior causes or by divine intervention
Oxford English Dictionary:
1.a. Spontaneous or unconstrained will; unforced choice; (also) inclination to act without suggestion from others. Esp. in of one's (own) free will and similar expressions.
2. The power of an individual to make free choices, not determined by divine predestination, the laws of physical causality, fate, etc.
Wiktionary:
1. A person's natural inclination; unforced choice.
2. (philosophy) The ability to choose one's actions, or determine what reasons are acceptable motivation for actions, without predestination, fate etc.
The number 1 definition is operational. The number 2 definition is philosophical.
You can also see the terms I use to summarize operational free will in Wiktionary:
Wiktionary
coercion
1. Actual or threatened force for the purpose of compelling action by another person; the act of coercing.
2. (law) Use of physical or moral force to compel a person to do something, or to abstain from doing something, thereby depriving that person of the exercise of free will.
undue
1. Excessive; going beyond that what is natural or sufficient.
2. That which ought not to be done; illegal; unjustified.
influence
1. The power to affect, control or manipulate something or someone; the ability to change the development of fluctuating things such as conduct, thoughts or decisions.
2. An action exerted by a person or thing with such power on another to cause change.
You can also see several studies that investigate what ordinary persons (those not infected with the philosophical paradox) think free will is about:
The first is called, "Surveying Freedom: Folk Intuitions about Free Will and Moral Responsibility" by Eddy Nahmias, Stephen Morris, Thomas Nadelhoffer, and Jason Turner. It is located at
http://www.brown.uk.com/brownlibrary/nahmias.pdf
The second is called, "From Uncaused Will to Conscious Choice: The Need to Study, Not Speculate About People’s Folk Concept of Free Will" by Andrew E. Monroe & Bertram F. Malle. It is located at
https://link.springer.com/article/10.1007/s13164-009-0010-7
The third is called, "It’s OK if ‘my brain made me do it’: People’s intuitions about free will and neuroscientific prediction", by Eddy Nahmias, Jason Shepard, and Shane Reuter. You'll find it here:
http://www.sciencedirect.com/science/article/pii/S0010027714001462
Free will - by definition - (freedom + will) requires non necessitated agency through the means of will.
Only the "philosophical" definition requires "freedom from causal necessity". And, since "freedom from causal necessity" implies "freedom from cause and effect", the definition is paradoxical and thus invalid. The simple fact is that freedom requires a world in which we can reliably cause effects, because without that ability we would have no freedoms to do anything at all.
Neural networks acquiring and processing information do not work on the principle of will.
The modern attack upon operational free will is through neuroscience. But neuroscience simply confirms what we've known for years. Our brains are the source of our decision-making. Our thoughts and feelings, our minds, are functions of the specialized areas of our evolved neurological infrastructure.
And our ability to decide for ourselves what we will do is one of those functions. There is no "either it is this or that". There is no "either it is the brain or it is us". When the brain is deciding what we will do, it is us deciding what we will do.
The only way to get to your "either this or that" is by invoking some myth of dualism.
Rather than will or freedom, the brain functionality is determined by an interaction of neural architecture, information input and memory function.
There is no "rather than", there is no "either this or that". When our brain is deciding what we will do, it is us deciding what we will do.
Applying the ideological label 'free will' doesn't make brain functionality a matter of free will.
There is no ideology here. Operational free will is based upon the simple observation of people every day deciding for themselves what they will do. Walk into any restaurant. See the people browsing the menu and placing their orders. See the waiter bringing them their dinner. See the waiter holding them responsible for their deliberate act by bringing them their bill. See the people taking responsibility for their deliberate act by paying the cashier on their way out.
Function determined by neural structure is not free will.
Only the neural function of deciding for ourselves what we will do is referred to as "free will" (a freely chosen will). There are a vast array of other neurological functions which support the person's ability to reliably do other things, like walking, talking, thinking, etc. And we may choose to do any of those things. There are also a vast array of other things going on neurologically that happen autonomously or reflexively or instinctually, which we do not choose, but which also support the person's ability to live.
There are things which we do not choose to do and other things that we do not choose. Free will is about the things that we can choose to do. But, again, it is not an "either this or that", but rather both that are real and meaningful.