In the PS4 GUI, there is a calendar with events that are up-coming.
It's literally called "Events" and if you go to it, seemingly random promotional shit is on there. It's also pretty sparse admittedly, but I would imagine if you put up your Funi app or advertise Dubbletalk or something like that you would get some more exposure. Can't hurt to look into right?
You're right. It couldn't hurt to look into. I can pass the word along. It probably is possible to pay to advertise on it.
The Funimation PlayStation app has been mentioned on their Blog and has been a featured app a couple times, which was pretty cool.