Like all things it depends on the end results and the quality of the original work.

I didn't have a problem with reworking Battlestar Galactica because while it was fun in it's original form it was short lived and rather cheesy.

The reworking made for some of the most gripping television I've ever seen.

I would have been very miffed if the plans to 're-imagine' Doctor Who had come to be in the mid nineties.

The post 2005 series has some of the strengths and some of the problems of the original show but it at least is a continuation of the series that began in 1963.

There is a difference between making a different adaptation of a story originating in a different media.

There have been many film adaptations of Shakespeare plays and Jane Austin novels so I don't have a problem with dropping the continuity of one series of films based on Batman for another.