>Actually there is a way to keep a chain up under the chin and have a loose lead at the same time
You cannot do with the very fine chains that are used on most show dogs unless they really too small for the dog when used the normal looped way & if they are smaller enough to use the end rings to fasten them, a death linked choker would have to be almost exactly the same length as the circumference of the dogs neck to stay up & therefore you are using the threat of the chain tightening to ensure the dogs head is kept up.
It really is easy to teach dogs to move with their heads held up naturally I've done it with GSDs, Beardies, Border Collies, Rough Collies, Standard Poodles, Labradors, Bassets, Afghans, Cockers, Cavaliers, Cardigan Corgis, Whippets, Greyhounds & lots of other breeds the result is a fair better picture than a dog with the collar up under their ears, however it does take more training & this is why so many people opt for the collar under the ears. I had a top junior handler try to handle one of my beardies doing this, however it had the opposite effect & when he tried stacking her using the choker she dipped her topline, other young handlers never had any problems handling her on a dead linked choker at the base of her neck(& therefore hidden in her coat), moving her on a truly loose lead & free standing her.
I used to get paid for handling dogs to show off their conformation naturally, never had a dog escape they way you describe