Hey I'm from Ask Mr. Robot and wanted to follow up on a few things:
Regarding stat weights:
Outlaw actually benefits from balanced secondaries. But stat weights don't balance stats, by their nature. One stat gets a higher priority than the others. We're actually working on a new method to solve this, that advances beyond weights and can handle automatically balancing stats, ratios, etc.
In the meantime, a few things to note about our current stat weight generation on AMR:
1. We look at 1000s of data points over real gear sets, and take into account interactions between stats. We then use some statistical best-practices to find a best-fitting line, which turns into your stat weights. SimC looks at 2 data points for each stat, and each stat is done in isolation. That means the interactions aren't captured well. It also means that the data can jump around due to the limited number of data points. That's one of the reasons you'll see AMR and SimC coming up with different weights.
2. Trinkets, legendaries and other items with procs can't be ranked with stat weights. Believe me, we've tried to get super clever in the past and convert procs to something weights can measure, etc. It wasn't good enough. So now, we rank all trinkets (and items with procs) direction from simulations. To do that, when you generate stat weights on our site, we ALSO run simulations for every single proc-item at various iLevels. We then bundle those results in with the stat weight report. So when you look at a ranked gear list, all of the procs get ranked directly from simulations.
With 2 trinkets, 2 legendaries, and some set bonuses, nearly half of the items can't be ranked with stat weights. So this is important to consider.
3. We also model real fights (more coming soon). Ursoc (single target) and mythic+ (good for AoE). This lets you get stat weights for different types of fights and switch between them. It also makes it easy to verify the simulation reports, especially for ursoc, to compare it to a log on WCL.
How to get stat weights on AMR:
1. Go here:
http://www.askmrrobot.com/wow/simulator/run
2. Load your character
3. Change the 'sim type' on the right from 'single run' to 'gearing strategy'
4. In the options that show up, set the min and max iLevel to 5 below and 5 above your current gear (or anything you want, but that's most popular)
5. Click simulate
There are more options, of course, since it's a super power user tool. If you want help with any of those, let me know.