Here is my analysis
Hard mode typically has more ennemies then Normal Mode. If you ever notice the placement of ennemies in missions and instances in Normal Mode, then do the same in Hard Mode, you will normally noticed a larger amount of groups.
Also, I think it (not 100%) that higher level ennemies have a higher (if not slightly) chance of a drop.
Destroyer Cores are Collector Items, which I believe are lootscaled, so typically lootscaled items see a preference for Hard mode.
As to doing a Solo Ranger...
The only Solo rangers I know of involve a Flatbow and either Degen a single target or a Flatbow and Splinter Weapon and then running away.
Or trapping a single area and lureing ennemies or a touch ranger
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