Paper stuck in “ASAP” status: what does it indicate?
As was mentioned in the comments, one possibility is that the editors are waiting for a better time to publish the paper, perhaps as part of a special issue or to highlight the paper on its cover.

Another possibility is that the authors have not fulfilled some requirements for publication like signing a copyright transfer form or paying the page charges.

Or perhaps there are some problematic issues about the paper.  Maybe the topic is controversial and some members of the board don't want it published, or perhaps the editors suspect some unethical publication practice.  (If it is this last reason, then perhaps it would be impolite to ask the authors about it.)