It does make sense, so long as Palm (or any other company for that matter) holds enough patents against its lead competitor it can blatantly rip their opponent off, so long as their counter-suit has a higher value than the initial lawsuit.
It's precisely the kind of MAD theory that worked throughout the cold war. It works extremely well when things don't happen instantaneously. Missile launches between the USA and USSR were so delayed by physics that you could shoot your opponent back before they'd even killed you, it was like a masochistic Mexican standoff. Because lawsuits can take on the order of years it's effect is more profound, especially as any delay tactic in court can make the end result even more devastating.
I mean I've heard of judges suspending patent use to try and hurry the case through court; I'm guessing his justification was he didn't want to die before it was resolved. I mean imagine how fast Apple would settle a patent case if a judge said "Until this case is resolved, both parties have to suspend the sale of their products using a touch screen."