The deal is that
batteries have a continuous discharge rating (C rating) and a pulse rating. The pulse rating is higher, but there is no standard definition of what a pulse is (length of pulse, rest time between pulses, etc.).
The honest thing to use in advertising, is the C rating because it is unambiguous. But since the pulse rating is always higher, some manufacturers use the pulse rating instead. (Often without stating that it is the pulse rating they're using, and always without specifying exactly what they mean by "pulse".)
The so-called 35A efests have a C rating of 20A. The 35A pulse rating could mean that it's safe to fire the
batteries for ten seconds at a time, with 5 second rests. Or it could mean that it's safe to fire the
batteries for 10 milliseconds at a time, with five minutes rests. (Extreme examples, but you get the point.) We just don't know. Therefore the pulse rating is useless, except for selling batteries to people who don't know better.
