You can't have a warranty claim on a five year old hardware that has one or two warranty, surely?
With a tivo (and some other products) you buy two things.
First is a box. This obviously holds the tuner and software to enable the delivery of the features your have purchased. A warranty claim on hardware within two years may be what the guarantee purchased states or it may be the reasonable life expectancy of such a thing. I think someone here has suggested Consumer reckons 5 years is about as good as it get for your standard electronic boxes. But bear in mind tivo was marketed as a Rolls Royce type product so perhaps the life expectancy of the box should be longer. As a clue to how long these things last, when the Series One were turned off there were 3,500 units that were more than 12 years old. So perhaps it could be argued that a Tivo box is a bit more than your average piece of kit. As an aside I'm not sure I would rely on Consumer - they didnt even know how big the hard drive was when the tested Tivo before giving it a "Not Recommended"assessment of DVR's.
The other thing you buy is a subscription. This might be for one year - in which case you should expect to receive your Tivo features for one year. It might be for a "Product Lifetime" which you should expect to receive the tivo features for the lifetime of the box - since this is how Tivo define a lifetime. Indeed Product Life time subscribers did receive their features for the lifetime - Series one was something like 14 years.
If you have a warranty that covers defects with no stipulated period (as I have) then arguably if there is a defect on one of the things that has been purchased the warranty would kick in. Incidentally I could have bought an Extended Warranty. I didn't so I dont know what this covered - maybe if covered the box for 5 years. Someone here may know.
And in the interests of accuracy there was a third thing I bought - and that was a wireless adapter. No moving parts so I'd suggest 5 years might be a reasonable life time for such a thing.