My opinion on the BBC news site now is that it largely prints what it is told to - most of the articles are re-hashes of press releases, many of them from government. Balance now is achieved only by picking a range of organisations to take press releases from. Haven't they been slashing the number of actual journalists for years? A 'reality check' section started appearing at some point, probably to rival or inspired by FullFact, which to me merely serves to underline the point that they no longer provide much analysis outside of that.
The main bias it seems to have to me, like other publicly funded organisations at the moment, is to the lowest of what is popular. The news site is becoming little more than a celebrity chat magazine.