If the extended warranty is from a third party, not directly from Triumph don't walk away from the deal, run. I sold Triumph motorcycles in Canada and the mother ship did not offer extended warranty.
If it's not from the OEM it's not warranty, it's an insurance policy. Good luck making a claim.
The commission on that insurance policy is far greater than the one the sales guy received on the bike. I'm guessing it's not the sales person offering the warranty, it's the business office. Non OEM warranty is pure cash for the insurance company and the dealership.
Let's say you purchase extended warranty from the OEM. They go into their computer system and register that warranty against your VIN. Show up at any authorized dealer with a warranty issue and you are golden.
Buy your extended warranty from a third party and what happens? Nothing! There is no record of you purchasing warranty anywhere other than the piece of paper they give you. Have a problem with your bike and walk in to that same authorized dealer and tell them you have warranty. They'll look at you like your crazy. They will not have any record of it. You will be expected to pay the bill, and you start paying the moment you brought the bike in, then it will be up to you to prove it's a warranty issue to the insurance co.
@ the OP, seriously man if you are being offered third party insurance at your local shop, it's not about protection for you. It's about getting more commission out of you. The dude or lady is not your friend, trust me.