The only lurcher I have is a pup atm so I can't say anything about them, but from having german shepherds in the family growing up that did bitework, the bitches always used to take their work more seriously. Didn't ever effect performance but the males were normally goofy, even around the house. Bitches thrived on praise and challenges more. Horrible to clean up after when they're in heat though
Pup I have now is a bitch, very fast learner but has a proper sulk if you tell her off