Statweights aren't nearly as meaningless as you're making them sound. No, they're not always gospel, and yes, there has been some bugs with haste. But even ignoring the statweights you can simply add haste to your gear by switching enchants/gems, which is not an insignificant amount these days, and see both your sim and ingame results go up, as I have done.
I mean, I get it, it sounds sacrilegious to not be aiming for high mastery, and when the hunter community on discord was figuring out that mastery just wasn't all that important anymore unless you somehow manage to get below 50%, which is nigh impossible with TOS gear, there was a lot of ????? And in the end it's the result of several factors, probably the biggest two being the neutering of Kill Command damage through trait nerfs plus the repeated buffs to Cobra Shot in relation.
To put it in perspective, here's my leggo combination sims for AotB spec:
https://www.raidbots.com/simbot/repo...7Rue8Qqs9ZH6hP
Note how my 2nd highest simming leggo setup is Sephuz+Prydaz (no boots). That's a drastic reduction in the amount of Kill Commands I'd use in a fight, and by simple logic, a great increase in the number of Cobra Shots. Just from that fact combined with the raw stats of Prydaz that nearly equals my best setup for that spec, and that spec sims higher than Killer Cobra or Dire Frenzy.