Anon: Do you think the Grand Huntsman would enter his partner's mind and just... look through their memories?
Yes, most definitely!
They like to do it when their partner is asleep. Not because they're afraid of getting caught-- which they're not-- but because when the mind is asleep it gives the least resistance. Poking around his partner's memories also serves as a fun past time while he waits for them to wake up. 
                                      
                                          
                                   
                                              
                                           
                                               
                                                  