Assuming the character brought a larger load of paper/sticks tribute, would the Wasps be willing to allow someone to just kind of hang around the Oasis for a few days without leaving? Possibly if, for instance, we're talking about someone who was raised by a wasp and is willing to help out around the hive-complex?

Ok let's not pretend this is hypothetical. Is it ok if Waspfire goes out and stays with the Wasps for a few days. Would they object to that.