The real issue here is the security vulnerability that led to the hack not just where the funds could go. Mixers are one method hackers use but improved security measures and faster blockchain analysis can help track and recover stolen assets before laundering happens.
Depends on the scale of the hack, though.
If it's big enough, then the big entity in question would be very eager to reassure everything is top-notch regarding security, whereas if the noise is not too big, then there is nothing to worry for them in the long run (and lots of worries for people involved).