会huì refers to a natural (dis-) ability or an acquired skill.
能néng refers to a physical (dis-) ability or or an unhampered possibility.
|he, him, other||no, not, after negative question: yes||future: will, meet, be able to||go to, pass away, remove||。|
|He is not able to go (because he was born without legs).|
|he, him, other||future: will, meet, be able to||speak, say||Chinese language, written Chinese language||。|
|He can speak Chinese.|
|he, him, other||no, not, after negative question: yes||can, energy||go to, pass away, remove||。|
|He is not able to go (because of a broken leg).|
|here||he, him, other||no, not, after negative question: yes||can, energy||to work, job||。|
|Here, he cannot work.|