I liked On Her Majesty's... also. I think Lazenby did a fine job and it would've been better if he had done Diamonds, too.
Yes, DAF would have been massively improved if it was starring Lazenby, and written with his portrayal of Bond in mind. We needed his revenge on Blofeld for what he did to Tracy, and what did we get? A comical, cheesy, camp farce with Blofeld in drag. I think Diamonds is possibly the nadir of the franchise.
As for the Abrams Trek reboots, I can see what people are getting at. They are like Star Trek's answer to the Daniel Craig era. They went back to basics, back to the source (TOS; and Ian Fleming's novels respectively)