I personally do not think its worth it. Perhaps a few hundred $$ but $1,200 is a bit steep.
Companies won't tell you this, but there are a lot of "secret/special warranties" that are available well after the original warranty wears out. Basically covers design deficiencies. You do have to prove that the item was subject to normal use and would "normally" last longer, or could be related to safety, you may be covered. I have had numerous occasions where an item was out of warranty and it was at least partially covered.
In those circumstances, I always ask to speak with the Service Manager and state my case. If not satisfied I write to the Company. Obviously not everything would be covered but you’d be surprised. Depends on how you argue your point.