I think this subject is both complex and simple. I just think it depends what you're looking for, how anal retentive you re (detail oriented) and how much you want to spend. If you want the very best, then you have to hunt for old 4mm thick pots and get it silver lined... probably cost you 6 month time and $1k+ but then you'll truly get the best performing saute pan... if you're going strictly by metal properties.. it will also weight 15lbs though...
The key is actually is in balance... which is the ratio between weight, size, thickness of the pan to performance of the pan. Copper pan will simply offer better performance than others, but it will weight 2x more. If you want SS pant hat performs close to cast iron (even heating and keeping heat the best). and don't want cast iron, then demeyere 7-ply or all-clad d7 is your best bet.
the bonded 2.3mm + .2mm ss/copper pans from 3major makers (falk, mauviel, matfer) will offer better/even heating, but probably won't keep heat better, but may reheat faster but are more costly... then, there is weight and copper maintenance (if you want thing shiny)
I would break it down this way:
below $200, d7 is best pan
below $300 demeyere 7ply
copper any of the 3
highest end / unicorn is hard to find, but they exist.
but, as someone said, d3 is likely the best pan for all or mc2, both are SS with 2mm or so of alum in the middle. The most important, obv is proper preheating (most ppl don't get them hot enough), and proper ventilation/hood (most ppl don't have proper hood). those 2 will be the limiting factors between crust creation, even browning, and proper ventilation (not to smoke up your house)
then there are bottom clad pots... with some at thick as 7mm... but that's a diff story