I have to admit, I do like the level of training that's apparent in being able to get a pack of dogs to pursue a deer for miles until it's almost collapsed from exhaustion and fear and then get them to sit down politely and wait for the chap with the gun to actually kill it. I didn't realise they had such good manners...
Seriously, yes, sometimes shooting a deer might go wrong, but the vast majority of the time a shot's going to destroy all the major structures in the chest cavity before the deer even knows what's hit it. And pretending that you don't get injured or crippled deer from pursuit with dogs is woefully disingenuous. It needs regulation, certainly, but then there are already regulatory frameworks in place; perhaps they could be improved or expanded, but they're there.