Here's how a live album should be done - take note QPL. The performance is left pretty much intact, with occasional vocal imperfections, botched guitar notes, no triggered drums as far as I can hear (though the possible presence of 60s studio overdubs is a different issue, and one I'm not qualified to comment on). I've only a few gripes - the audience noise is a bit much, however that's certainly an important part of the audio if we're to treat it as a historical record. Anyway, we can listen to the BBC sessions for faux-live versions without crowd noise. It's also a bummer that they didn't include If I Fell. Compression is probably also an issue (I'd be amazed if a 2016 release didn't have that problem), but again, I'm no authority on that.
Definitely feels like an authentic live record throughout, something which I can't say about the clinical and overproduced Rainbow and Hammersmith.
Knowing the stories of The Beatles live, I guess the loud audience noise is a given, It's hard to get a low mix of the audience when everyone's screaming like there's no tomorrow. Still like it though. Like you said, it's an important part of the audio if treated as a historical record. This is a recorded account of Beatlemania at its peak.