Hi hyesetrak and welcome to the forum
Your correct accident damage doesn't cancel the warranty like a repaired previously totaled vehicle.
However, your confusing Honda's product quality update, the battery warranty extension and a recall.
Essentially a Honda product quality update can be considered a voluntary recall. And is likely to be related to something that the DOT wouldn't even consider for a mandatory "recall". Its a reflection of Honda's commitment to quality (but remember nothings perfect

).
The recently announced warranty extension is similar to a product quality update. However, it is limited to a few states (

) and extends the IMA battery warranty to 10 years or 150,000 miles.
See:
US IMA warranty extension
http://www.insightcentral.net/forum/vie ... php?t=4796
HTH!