Seriously, have you ever seen a rebrand negatively affect a product? Rebrands have to be thought about retrospectively: you need to think whether it would make sense to go from the new to the old. Number26 for example rebranded to N26 and in retrospect it was an utterly obvious move.
Wise to Transferwise would make no sense especially if they are positioning themselves as more than a PayPal alternative. So this is a good rebrand.
And the generic name isn't a problem, any more than it was for Square. It's a shame $WISE is taken though.