I have owned greyhounds for the last 10 years and found the following to be true
Recall - only good when there is nothing about to chase (smaller dogs, cats , rabbits). Our current hound has great recall skills until something grabs his attention and he's gone - no matter how much training he has had. It's their instinct.
Manners - fab with waiting to get food, understands they are not allowed on the bed, never done the toilet in the home. Generally quiet and pleasant to have around.
Lazy - don't be fooled by the fact they used to be athletes . Some don't appreciate anything more than a 20 minute walk. They also tend to hate being outside when it's cold / wet due to their thin coats and skin.
Training - my current hound can give a paw and will listen when told to leave something alone or lie down . But that's about it - greyhounds can't really sit due to their structure and struggle with other commands as they can get easily distracted.
Personality - they tend to be quite "aloof". Our has not interest in playing with us or cuddling on the sofa . He does his own thing - he's comes to us when he wants attention not the other way around . Some people could get bored quickly .
This is only based on my experience with hounds - I appreciate they are all different . I wouldn't have another breed now as they are very loving in their own little way, and the aversion to cold weather suits me too !