Our friends over at USgamer reached out to Aspyr to ask what exactly was going on, and were informed a fix for this cross-play bug was on the way. Here's the full statement:
We're absolutely thrilled and appreciative of the support that our fan community has given last week's launch of Star Wars™ Jedi Knight: Jedi Academy on PS4 and Nintendo Switch. We are aware of the current bug that allows multiplayer cross play between PC and console. As with every game we work on, we are fully committed to delivering great gaming experiences for players, which includes a fair playing field for all. A remedy for this loophole is now in the works and will be available soon.
There's no mention of when exactly this fix will arrive, other than the fact it will be available soon. If Asypr's patch for its existing Star Wars game on Switch is any indication, this cross-play bug should be resolved within the next few weeks.
How's your experience been with the multiplayer in this game so far? Tell us below.