The award is for her dogs, not to find the criminals who almost killed the guy. Stay Woke my friends.
Offering a reward for the safe return of the dogs with no questions asked is an attempt to get them back. It gives the criminals an incentive to return the dogs either directly or indirectly through a third party. If you think Lady Gaga thought this up by herself, you are sadly mistaken - it is often done in crimes where someone or something is taken.
I am also under the impression that the police do not necessarily want rewards offered for information since they tend to create more work with no payoff. That may be the case right now.
So, this reward offer is not necessarily an example of "wokeness".