Hey, @Lecko.
Regular cores, Alien Cores, and Patreon Cores cannot be picked up at all, other than through EGS Recycle level 5+ 
This is intentional, and we don’t intend to change it for now @Wh1t3_Gh0st.
But since you technically already have EGS Recycle level 5, so you could have done it if you just used the right command, I made an exception and returned the Patreon Core to your inventory now.