My own experiences with different extensions are very limited. I hope other members with more experiences in this field will chime in.
It is certainly trivial for a search engine to let the extension be part of the algorithm if they want to.
My limited experiences suggest the possibility that some search engines may give a website a (slight) handicap if its content does not seem to be of the kind that the extension suggests.
An .info extension would suggest an informational website. But if the content is actually commercial it is imaginable that a search engine might be able to identify it as such and then choose to degrade it slightly.
But this is all speculation for my part.
So, you might get a good place in the SERPS, but it might not help your sales much. As always, YMMV.