You're linking to a website which basically says that technically the quoted phrase was incorrect (specific wording), but explicitly saying they're not disputing the message was correct. I'm not sure that's the source you're after.
> In a news conference after the rally protesting the planned removal of a Confederate statue, Trump did say there were "very fine people on both sides," referring to the protesters and the counterprotesters. He said in the same statement he wasn't talking about neo-Nazis and white nationalists, who he said should be "condemned totally.
Trump’s statement eliminates any ambiguity about what he meant with regard to white nationalists.
The addendum to the fact check is talking about the factual issue of who was at the protest. Trump understood the protestors to include people who opposed taking down the statue of Robert E. Lee. He makes this explicitly clear in the same paragraph where he made the “fine people” comment:
> You had people in that group that were there to protest the taking down, of to them, a very, very important statue and the renaming of a park from Robert E. Lee to another name.
He returned to that many times, and had a whole aside about whether taking down statues of George Washington was next. The reporter had attempted to paint all of those people as white nationalists and he pushed back on that.
The Snopes fact-check says that Trump may have been wrong about who was in the protest. But Trump was unambiguous about condemning white supremacists, and the Snopes article doesn’t walk that back.
