LeBron James claimed it does not feel right to match records when it comes in "a losing effort".
That victory made it four wins on the bounce for the Lakers, who have begun a bounce back from a dismal streak of one win in six.
But the Lakers remain 12th in the Western Conference with an 18-21 record for the season.
James, who turned 38 last month, is closing in on the all-time regular-season points record, held by former Milwaukee Bucks and Lakers great Kareem Abdul-Jabbar, who accumulated 38,387 across a long career.
Yet James is not interested in achievements if they come when the team are struggling.
"I want to win. [The losing is] not sitting well with me," James told ESPN.
"I don't like having accomplishments, and it don't feel right, when it comes in a losing effort.
"We sit here right now as a franchise and as a team that's below .500. We've been playing some good basketball as of late, but we want to and I want to win at the highest level.
"Breaking records or setting records or passing greats in a losing effort has never been a DNA of mine."
James was instrumental for the Lakers against the Hawks, adding 10 assists and seven rebounds to his tally of points.
Westbrook said: "There are going to be times where guys go down, unfortunately, and we have a group of guys that have just been preparing themselves for when it's their moment to play and play well.
"[It] seems like we've been hitting a good stride of figuring that out."
Coach Darvin Ham said: "It's motivating them to step their games up. They know I'll put anybody out there, and if they're playing the right way, they'll play a significant amount of minutes."