I've seen a few minutes of the interview, and read the transcript. It's too much to break down point by point, but overall Putin was effective in delivering a selective version of history, with some points stretching the bounds of credulity quite a lot. He doesn't present outright falsehoods, but rather commits sins of careful omission, while at the same time emphasizing those points that are left out of the Western narrative because they are inconvenient. This is quite effective, as anyone who looks into things not often discussed in the West will usually find Putin's version reasonably accurate, at least in part, which lends him credibility. Here's one simple example:
Putin: ... We negotiated with Ukraine in Istanbul. We agreed. He (Zelensky) was aware of this. Moreover, the negotiation group leader, Mr. Arakhamia, his last name I believe, still heads the faction of the ruling party, the party of the president in the Rada. He still heads the presidential faction in the Rada, the country's parliament. He still sits there. He even put his preliminary signature on the document. I am telling you. But then he publicly stated to the whole world, we were ready to sign this document but Mr. Johnson, then the Prime Minister, came and dissuaded us from doing this, saying it was better to fight Russia. They would give everything needed for us to return what was lost during the clashes with Russia. And we agreed with this proposal. Look, his statement has been published. He said it publicly. Can they return to this or not? The question is, do they want it or not? Further on, president of Ukraine issued a decree prohibiting negotiations with us. Let him cancel that decree. And that's it. We have never refused negotiations indeed. We hear all the time, is Russia ready? Yes. We have not refused. It was them who publicly refused. Well, let him cancel his decree and enter into negotiations. We have never refused. And the fact that they obey the demand or persuasion of Mr. Johnson, the former Prime Minister of Great Britain, seems ridiculous. And it's very sad to me because, as Mr. Arakhamia put it, we could have stopped those hostilities with war a year and a half ago already. But the British persuaded us and we refused this. Where is Mr. Johnson now? And the war continues.
While now largely forgotten in the West, this is easily confirmed, as there are numerous optimistic articles (here's just one from VOA, hardly a pro-Russian source) around that time that suggest a preliminary agreement was being developed, and that both sides were largely amenable to it. It fell apart, ostensibly because with Russia's withdrawal from Bucha, the extent of atrocities there became evident, souring Ukraine on any deal a few days later. The contents of Boris Johnson's talks in Kiev were of course not made public at the time, and ex post facto both he and Arakhamia claimed that Putin's version was a complete fabrication. Are they telling the whole truth? Maybe, maybe not; they both certainly have reasons to be as loose with the whole truth as Putin is when it serves his purposes.
Winston Churchill famously said "In wartime, truth is so precious that she should always be attended by a bodyguard of lies." He was not wrong. The trick, of course, is making your lies believable and your enemy's truths unbelievable. Putin is an effective practitioner of this skill.