List price is the starting point, invoice price is what appeared on the document, and pocket price is what remains after rebates, ship-and-debit claims, promotional allowances, settlement discounts, freight absorption and anything else that reduces the money you keep.
The gap between invoice and pocket is routinely several percentage points and is almost never visible at the time of the pricing decision, because the reductions settle later and in other systems. That is how a deal gets approved as profitable and settles as a loss.
Managing on pocket price rather than invoice price is the single highest-leverage change available to most channel businesses. It does not require new pricing discipline; it requires the number to exist.