The type of damage your weapon deals has almost no effect on anything.
There are a very few exceptions:
"Auto attacks" made by you or your follower will deal the weapons damage type. This is mostly only important for followers equipped with Wyrdward.
Wizard Elemental Exposure passive explicitly states weapon damage type counts for a stack of the debuff.
There have been occasional instances of bugs that caused certain unintended interactions between certain skills, set bonuses, affixes and a weapons damage type. For example, when Shadow set was first changed to be focused on Impale, Convention of Elements was buffing Impale damage based on your equipped weapons element instead of your rune. This has since been fixed and I am aware of no current similar bugs.
In the vast majority of cases, the damage type of your selected rune is what matters.
TL;DR: You weapons damage type doesn't matter for your character. Take the highest damage range you can get and match your +elemental% bonuses, CoE etc. to your skill rune damage type.
The type of damage your weapon deals has almost no effect on anything.
There are a very few exceptions:
"Auto attacks" made by you or your follower will deal the weapons damage type. This is mostly only important for followers equipped with Wyrdward.
Wizard Elemental Exposure passive explicitly states weapon damage type counts for a stack of the debuff.
There have been occasional instances of bugs that caused certain unintended interactions between certain skills, set bonuses, affixes and a weapons damage type. For example, when Shadow set was first changed to be focused on Impale, Convention of Elements was buffing Impale damage based on your equipped weapons element instead of your rune. This has since been fixed and I am aware of no current similar bugs.
In the vast majority of cases, the damage type of your selected rune is what matters.
TL;DR: You weapons damage type doesn't matter for your character. Take the highest damage range you can get and match your +elemental% bonuses, CoE etc. to your skill rune damage type.