Translatorfag here
As an experienced professional interpreter and translator, I'd like to remind that any simultaneous interpreting is going to omit at least 30%+ content and meaning from the interaction.
This is an unavoidable result of the interpreter having to both listen and speak at the same time, and to operate in real time at the same speed of the person who is speaking. Interpreting from one language to another is a highly complex activity requiring massive amounts of mental energy, and it is simply impossible for an interpreter to effectively both listen and speak at the same rate that the original speaker is thinking and talking.
Moreover, when an interpreter does not have native-level fluency in the target language, also, a variety of nuances can be lost.
Listening to the interpreter ("interpreting" = audio or spoken translation, "translation" = translation of a text), it is clear when certain nuances were omitted, and sometimes not well expressed in English.
For example, at one point, the interpreter for Putin says "That's a subtle question". It seems clear from context that what he means here is "that's a crafty question" "that's a clever/sneaky question. That is, a question designed to trick, or maneuver, or manipulate the respondent.
Recommended: to really understand and grasp the content of Putin's replies, seek out a translation into English of a transcript of his answers.
(What I mean is, at some point, someone - probably an official Russian agency - will publish a transcript of Putin's actual words. Hopefully, someone or some party will then undertake a professional translation of that transcript. Such a translation will show much more clearly what Putin was actually saying.)
When a transcript is created, all the words spoken are recorded and then a translator can spend much more time and effort refining the translation and conveying the nuances, subtle meanings, and exact expressions in the target language - in this case, English.
Simultaneous interpreting delivers only a very broad foundation for interaction and dialog, but necessarily omits a lot of the meaning. The core elements are there, but many of the nuances get lost.
Addendum: Here is a transcript of the interview, but NOTE, this is a transcript of Tucker and the Interpreter, and this is not Putin's own words.
https://www.activenews.ro/english/ENGLISH.-Putin-Carlson-interview-Full-transcript.-Interviul-lui-Tucker-Carlson-cu-Vladimir-Putin-Transcrierea-in-Engleza-plus-VIDEO-187411
Sadly, many outside the interpreting profession have little awareness of the natural and necessary limitations of simultaneous interpreting, and tend to deal with an interpreter's words as if the are the original speakers own words. They are not. So it is critical to allow for at least a 20%+ margin of error.