>>48273165Item rewards(Notable, but not overpowered) and or a small bonus to XP rate(becomes significant after many pokemon are caught). Anything else would require too much dev time plus talent and never happen.
But if we were in a perfect world: Raids that are actual raids. Areas you bring entire boxes of pokemon to clear. Other players can join with a single party of their own, but the bulk of your numbers will be from your own box pokemon, either in reserve or being used by AI trainers.