The Sorcerer pass is good except for like 9 days of the year that 99% of those with an AP through
DVC will not attend. Its really not the same as your analogy.
For all intensive purposes its a discount and savings because if I didn't have DVC Direct I would need to pay way more for zero difference in my AP.
You are over thinking this and doesn't align to US vernacular.
Saving money is spending less money than you would have otherwise. Its not saving from the context of your savings account or saving for the future which are different uses for the word.