"Everything I said was authentic".
But, Mr Hunter said he would have preferred to hear from the Commander-in-Chief.
Chris Baldridge, whose son Army Sgt. Dillon Baldridge was killed by an Afghan police officer in June, told the Post that Trump promised to send him a check and set up an online fundraiser for the family.
White House spokeswoman Lindsay Walters later told The Post that the check "has been sent".
Trump still insists the congresswoman was lying, though he has specifically responded to the families who've made similar claims just yet.
CNN reports that check was sent the same day the Post's story was published.
Mr Trump was silent on the matter for 12 days until he was asked a question about it during a press conference with Greek Prime Minister Alexis Tsipras.
The alleged remarks sparked angry comments on social media, with Ms Wilson saying on Twitter that Mr Trump did "not possess the character, empathy or grace to be president of the United States".
"Mr. President, you crossed the line there", Holder said on CNN's "The Lead with Jake Tapper".
The deceased soldier's mother said the congresswoman's account of the conversation was accurate. He later sought to walk the claim back, though did not apologise for his error when it was pointed out. Former staff members from both administrations have disputed Trump, some of them angrily. The president defensively claimed to have done a better job of contacting families of slain service members than Presidents Obama and George W. Bush.
"He made the focus about him", Panetta told ABC News' Powerhouse Politics podcast on Wednesday, adding that it "really distracted from what the country ought to focus on, which is the sacrifices of those individuals and those families".
Wilson, a Florida Democrat, has said she was with the widow of Staff Sgt. "He kept calling him, 'Your guy'".
"He said, 'But you know he must've known what he signed up for, '" Wilson recounted Trump saying during the 3-5 minute call to express his sympathy for Johnson's death.
"President Trump did disrespect my son and my daughter and also me and my husband", Cowanda Jones-Johnson told The Post.
After Trump's tweet Wednesday morning, the congresswoman fired back, "I wasn't in the vehicle by myself", she said. Sgt.
Mr Kelly was the highest-ranking military official to lose a child in the Iraq or Afghanistan wars. But a person familiar with the breakfast for Gold Star Families at the White House on May 30, 2011, told NBC News that Kelly and his wife attended the private event and were seated at first lady Michelle Obama's table.