bosch in my experience any council pound which tells you that it never kills dogs is lying. I think that 99.99% of my fellow pound dog rescuers would agree on that one.
The council is only obligated to care for a dog for 7 days if he's a stray, before they can legally kill him, rehome him to someone like you or allow a rescue to take him in. What do you think happens when those 7 days run out? The money isn't finite and nor are the spaces in the pound. What happens when the next batch of dogs come in if the last lot haven't been moved out... and then the next lot...? Where do they put all those dogs?
What about the aggressive dogs that no-one wants? And the old ones who no-one will offer a home to?
Sheffield has a huge problem with unwanted Staffies (don't they all, but the Sheffield/Wakefield/Leeds area is one of the worst outside London). You;ve seen the hysterical attitudes to Staffies on here.... and out there in the real world it's no better. No-one wants them and yet they'll make up the bulk of Sheffield's pound dogs most of the time. Where do you think they end up?
WRT you not being homechecked, VERY few pounds do. Hull does.. they recently homechecked in less than 5 minutes in and out again and let a novice owner without a garden and with an Autistic, sometimes wheelchair-reliant 6 year old child take on a 1 year old unassessed ex stray collie with no history. It was the council's dog warden who "homechecked" the (kind but naive) new owner.
It took about 3 weeks before, as I predicted, the dog nipped her child and ended up leaving the owner and (thank god) being placed in rescue.
FFS, if anything goes wrong like that, please come back to me and don't return your dog to the pound. He'll be dead within 24 hours if you do. Guaranteed.