You are not entitled to a refund under the terms of the warranty you agreed to when you started using your Mac.
Commercial products, their warranties, and their extended warranties work in a predictable way.
Warrant-able implies, but does not guarantee, High Quality:
Commercial product makers build high quality products. You can tell because the manufacturer is willing to stand by their products and repair or replace them for defects caused by materials or workmanship (but NOT abuse) at manufacturers expense for a stated warranty period.
For Apple Macs in most countries, that period is one year. That is the total responsibility Apple or any manufacturer has to you under law. Assumptions about additional responsibility of Apple or any other commercial product-maker's products working longer than the warranty period are not accurate. The amount you paid for the product has no bearing on this. The rules are the same for a car costing US$20,000 or more.
Extended warranty:
Some manufacturers offer extended warranties, also known as service contracts. For a modest pre-payment, the manufacturer agrees to service their product for an additional period of time -- to repair or replace defects in Materials or Workmanship for an additional period. Some users will have No claims during this period. This "insurance effect" allows the manufacturer to keep the price of this service contract relatively low. You generally can not sign up later, because then only owners with problems would sign up, after they discovered an issue.
If you made the decision to NOT pay for the extended warranty, you made a decision to bear the cost of repairs during the extended warranty period yourself.
The MacBook Pro is a lightweight, portable computer that runs on batteries. Being portable, it can easily be subjected to multi-G forces daily, just by being moved about in a completely ordinary way. This is extremely stressful to electro-mechanical equipment. I would never even think about NOT purchasing the extended warranty coverage for such a portable device.