You do know that most of the definitions of the will are regarding expressing right? That the will is expressing? Thought/thinking being expressed by choice.
will1
/wil,wəl/
verb
modal verb: will
1.
expressing the future tense.
“you will regret it when you are older”
expressing a strong intention or assertion about the future.
“come what may, I will succeed”
2.
expressing inevitable events.
“accidents will happen”
synonyms: have a tendency to, are bound to, have a habit of, do
“accidents will happen”
3.
expressing a request.
“will you stop here, please”
expressing desire, consent, or willingness.
“will you have a cognac?”
4.
expressing facts about ability or capacity.
“a rock so light that it will float on water”
5.
expressing habitual behavior.
“she will dance for hours”
(pronounced stressing “will”) indicating annoyance about the habitual behavior described.
“he will keep intruding”
6.
expressing probability or expectation about something in the present.
“they will be miles away by now”
Phrases
will do — expressing willingness to carry out a request or suggestion.
““Might be best to check.” “OK, will do.””
will2
/wil/
noun
noun: will; plural noun: wills
1.
the faculty by which a person decides on and initiates action.
“she has an iron will”
synonyms: determination, firmness of purpose, fixity of purpose, will power, strength of character, resolution, resolve, resoluteness, purposefulness, single-mindedness, drive, commitment, dedication, doggedness, tenacity, tenaciousness, staying power, backbone, spine; More
self-control, self-restraint, self-discipline, self-mastery;
volition;
Sitzfleisch;
informalstickability;
informalstick-to-it-iveness;
rareperseveration
“she has the will to succeed”
volition, choice, option, decision, discretion, prerogative
“freedom of the will”
control deliberately exerted to do something or to restrain one’s own impulses.
“a stupendous effort of will”
a deliberate or fixed desire or intention.
“Jane had not wanted them to stay against their will”
synonyms: desire, wish, preference, inclination, mind, disposition; More
intention, intent
“Jane had not wanted them to stay against their will”
the thing that one desires or ordains.
“the disaster was God’s will”
synonyms: wish, desire, decision, choice, intention; More
decree, ordinance, command, dictate
“they believed it to be God’s will”
2.
a legal document containing instructions as to what should be done with one’s money and property after one’s death.
synonyms: testament, last will and testament, last wishes; bequest(s)
“his late father’s will”
verb
verb: will; 3rd person present: wills; past tense: willed; past participle: willed; gerund or present participle: willing
1.
FORMAL•LITERARY
intend, desire, or wish (something) to happen.
“he was doing what the saint willed”
synonyms: decree, order, ordain, command, direct; More
intend, wish, want
“God willed it”
make or try to make (someone) do something or (something) happen by the exercise of mental powers.
“reluctantly he willed himself to turn and go back”
2.
bequeath something to (someone) by the terms of one’s will.
synonyms: bequeath, leave, give, hand down, hand on, pass on, settle on, make over, transfer, gift; devise
“she willed the money to her husband”
leave specified instructions in one’s will.
“he willed that his body be given to the hospital”
Not sure which definition you’re using or thinking to use, but Will is exactly that of which you say choice or expression has no effect of demonstrating or showing it is free in use. When will literally stands for expressing and choice of expression.