Thanks for all of the suggestions, everyone!
I used a pair of automotive panel tools and pried it apart "cold" (70-ish F, 21-ish C), and it popped back into place.
Opened the systainer to find the splinter guard and track end stop floating around aimlessly in the case and the top styrofoam retainer split in half.
The rest of the experience I'll share with the good folks in Lebanon, IN.
FWIW, I received another item from Recon today (my T18+3, which was super exciting), and UPS decided that it, too, should be transported on its side. The battery and chucks were all somewhat randomly askew in the systainer, but it's a small enough unit that they were at least mostly in their little nooks.
With the weight of the saws and the rather delicate nature of the systainer inserts, you'd think they'd put a "This end up" label on their shipping boxes to keep things from breaking when being tossed around by package handlers. Maybe "this end up" handling costs more?