Basically, Putin didn't even bother objecting on about 90% of the question. Basically, he said: Yeah, I fucked up the country big time. But YOU called Yeltsin an alcoholic and dropped bombs on a genocidal state that we happen to like.
You can't make this shit up.
Kudos for the BBC and their Editor Steve Rosenberg to ask that question. Unfortunately, I doubt it will resonate with the Russian public.