Well, there may actually be some legit attorney-client stuff in there - quite a bit, maybe. When the compact offer/demand came in, I suspect that there were significant conversations with legal counsel regarding risks, repercussions, possible responsive strategies, etc., and a good bit of back and forth on that.
Any communication sent to the Trump administration - a third party - would NOT be privileged. Now....that assertion of privilege will be reviewed by our Attorney General's office, and that Open Records division is . . . .short-staffed, by woefully inexperienced people (they ran off all the experienced folks) and (this is different than it used to be) much more susceptible to pressure/demands from politicians above than it used to be. So, that part of the process isn't so great. But, once they issue their decision and records are withheld, the requestors can appeal that and take it to court for a legit third-party evaluation of whether the privilege actually applies.