Refurb goods and shortened warranties

When my son’s XBOX ONE died age 18m I was happy to have my AMEX extended warranty at hand.

Except, they correctly pointed out, it was a refurb and had a limited 90 day warranty.

Oddly enough I’d never run into this before; I assumed a normal warranty. Why buy something the seller predicts will fail prematurely? That would require a hell of a discount.

If I ever buy refurb again the product will have to have a full warranty period.

Penance paid, lesson learned, shared, etc.