A new PlayStation Network listing would suggest that upcoming action RPG Lost Judgment is getting a demo. Pulled up from Sony's database by automated Twitter account PSN releases, the supposed demo was added to the Japanese and Asian sides of the network on PS4.
It could be that the demo will be exclusive to Japan and other Asian regions, but that wouldn't make much sense, given that SEGA has made a big deal over Lost Judgment having a global release date. It's more likely that this PS4 demo has simply been added to the network first, possibly for technical or testing reasons.
Lost Judgment is out in just under a month, on PS5 and PS4. As such, we wouldn't be at all surprised to see SEGA confirm a demo on both platforms at some point over the next few weeks.