I really don’t think Jackson’s film glossed over the strife.
Could this have been more unflinchingly depicted? Perhaps.
It’s worth noting that Yoko, Ringo and Paul, and other family members of Beatles, deceased or not, are still alive. We don’t really know how much influence those people had on what was left on the cutting room floor.
While they very well may have been magnanimous as to their respect towards the importance of honesty in the storytelling, it’s not unreasonable to assume they may have been apprehensive towards the depiction of certain Beatles’ unsavory behavior.