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I look at it 2 ways either we can start opening wider with more speculative hands...
"Speculative" is more subjective than you think. It's often the case that certain hands move into and out of different ranges depending on stack depth.
As an extreme example think about small/medium pairs.
At say 80ishbb and up (rough number no analytical proof) depending on opening size or action you can play them to set mine. Get into the 55-60ish bb range and they can't be set mined or shoved profitably. Get below that and you can start shoving some of the medium pairs profitably in a short stacking strategy and get much below that and you should always be shoving them, like short stacks in tournaments.
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...that have nut-potential, or we can can open 3.5x~ at 200bb avg stack and 4x~ at 300bb avg stack with a fairly similar range. If the table is softer then I think the former strategy is the better option, and if the table is more solid then probably the latter option? What is the theoretical adjustment at these stacks?
When you are deep post flop play is much much more important than deciding on opening .5-1 bb difference. I have heard in general even at 100bb varying betsize preflop by a few bb doesn't greatly affect EV as most of your bb will come from larger pots on turn and river.
At deep stack depths your #1 priority is protecting your stack. That doesn't mean you play scared it just means that you need to adjust your relative hand strength up slightly (depending on villain's tendencies, actions, etc.)
You should also explore strategic options that don't often come up in 100bb games like defending ranges for multiple raises with money behind, over betting on multiple streets, extreme overbetting, and how best to get your whole stack in with the nuts and what bluffs make sense.