I think Beatty was the best Admiral the Kaiser had. The RN never had a more cavalier, incompetent, blustering, political arse kissing, back stabbing Admiral. The performance of the Battle Cruiser Force would have been improved immeasurably if he had stepped in front of an Edinburgh Tram.
Can only partly agree with you there (and not at all about the Kaiser comment).
Cavalier - no, he was aggressive, but not reckless. In three battles he attacked with superior forces.
Incompetent - no (but with reservations). He did learn the wrong lessons from his failures on at least two occasions. One of those (fast firing) is arguably an "exigencies of war" situation. He should have beached his flag lieutenant, but there your point (4) stands.
Blustering - no, he practiced what he preached.
Political arse kisser - Yes, definitely, but he was hardly unique in that.
Back stabbing - Somewhat. He was to Jellicoe, but Jellicoe's reputation survived nonetheless. He certainly conspired with others to cover up his failures on several occasions.
Like so many great men, he had great failures and successes, which tend to balance out - for instance he tried to encourage a sense of independent action among his officers (contrary to accepted theory at the time), and he did a lot of good work after the war (again, not all good, but on balance - not bad).
I'll not disagree that the performance of the BCF could have been better in several ways, and marginal victories could have been greater ones, while losses could have been smaller. However, I would point out that on all three occasions (Heligoland Bight, Dogger Bank and Jutland) the BCF did what it was supposed to do.