Here's my two, both lurchers and both incredible characters.
On the left is our eldest Rox. She was a rescue hound and we believe she's a greyhound cross with a bit of deerhound in the mix somewhere. She's very loyal, smart as hell, hates thunder/fireworks, would eat anyone who presented any threat to my kids but is a big softie and very social.
On the right is our youngest Suzie who we've had since she was a pup. We can't take her anywhere without people stopping to talk or fuss over her and it was worse when she was a pup (she looked like a lab pup on stilts). She's got a curious genetic mix of whippet (and has similar skittishness at times), greyhound, saluki and collie (her eyes are pure collie and she drops and holds like a collie without having been taught. If anything she's a collie in lurcher's clothing, can tun on a sixpence, jump almost anything and is soppy and affectionate little creature.
And this would be Suzi deciding it would be fun to run between my legs with her tail up as I was taking her picture. Trust me, it hurt...
She has chased the odd rabbit but not sure she'd know what to do with one of she caught it..I've always called her back long before that happened. Her mother was apparently an amazing courser and caught plenty of bunnies with ease.
As bushcraft dogs go, they love being outside but have little tolerance for rain or cold. Even in a tent they need their dog coats and blankets over them or end up forcing themselves into our sleeping bags. They have to be dragged outside when it's raining (although once out they're fine).
Out walking with them they will exercise themselves and will race along paths chasing each other...you do have to watch when they head back your way at 40mph or if there are other folk on the path...last thing anyone wants is a strange pair of dogs heading your way at high speed. They do stop dead when called and turn back when told.
So, they're occasionally neurotic, lacking any pain tolerance at all, frequently nuts, vary between running full speed everywhere and lounging around all day...I'd never be without them. They go on holiday with us, drape themselves over us & the kids.
Great dogs, potentially functional but who cares...they're just great company.