Where did 'DS36A' come from? Do you know what diverse even means? If it is true that the rumble is more 'diverse', it just means it has a wider range of rumble than the DS2 does. So that might mean it can rumble weaker, but it can probably rumble just as strong.
I really think you're thinking too much about it. The rumble is just fine. The battery life is just fine. You've nothing to worry about. Just make sure you get a controller that says DUALSHOCK on it (which should be easy if you're buying the system brand new, since they don't make the SIXAXIS on its own anymore).
Well, on back of the DS36A, "DualShock3" appears in the top right corner, but then "Sixaxis" appears directly below it. That's why I call it the DS36A.