If TNG hostage crisis refers to Burnett's time creating the documentaries, it certainly makes sense. I can't imagine he and Roger Lay would have time to handle the extras for two other Trek series though in addition to Enterprise. But the fact that "both the animated series and Enterprise" (to speculatively complete his sentence) are ready for HD certainly tracks.
the animated series? What's the other one then?
I'm pretty sure the TNG Hostage Crisis refers to the onslaught of work required to produce the series and/or documentaries he oversees, as in they're being held hostage until all 7 series are done.
As for "both" I'm pretty sure he's implying both DS9 and Voyager are going to get the HD treatment at some point.
EDIT: Yeah, ignore me. I fail English when I wake up.