1.
You use ~ for emphasis when you are stating an opinion, or when you are making an important or general statement about something.
Fundamentally, women like him for his sensitivity and charming vulnerability...
He can be very charming, but he is ~ a bully...
= basically
ADV: ADV with cl/group emphasis
2.
You use ~ to indicate that something affects or relates to the deep, basic nature of something.
He disagreed ~ with the President’s judgment...
Environmentalists say the treaty is ~ flawed.
= profoundly
ADV: ADV with v