I always heel with the leash in my left hand with my hand straight down. Only time I don't is the moving stand in utility. Then I hold my hand at my waist as hand movement will tell them to stop and that hard to do with your hand at your side.
I have never heard of the leash in the right hand as you described. Too strange. I do hold the leash in the right hand when starting my puppies so I can show them with a lure in the left. But lures should be faded at the first sign of understanding or you become dependent on it and the dog never learns to think. Sounds like Ellie is beyond that. If you watch Porter's video. Rachel lures Porter for the totally new things but for the sit which he knows, she just tells him ,no luring. If Ellie has not been lured ever I can see the problem, her whole picture has been changed.
I wish I was there so I could help you. For this week, just teach Ellie to follow the treat as you move it about when she is not lunging for it and following it ,say yes and give it to her. I'll see if I can get Rachel to show you will Porter tom night. Don't hestitate to tell her to do the things she knows you shouldn't need to lure those things. Practice will make it easier and less foreign.
Also it doesn't matter what you call any command as long as you use the same all the time. I taught Justice "heel" for the left finish, my friends say swing. I was told when I was training Ember I should said swing like I'm supposed not heel because that is what I say when I heeling. I said whatever, heel means be at my side whether I'm moving or standing. I'll never remember swing so I not changing. Worked out ok I think, Justice is a mutliple venue, multiple HIT/HC dog and so is Ember.
In formal obedience and or rally competition, is there a rule you have to have the leash in your right hand?
We have only used a lure for Ellie when she is just learning how to do something. The lure is taken away once she learns it. She gets a treat at the end of a training session or at the end of a walk or if she does something spectacular on the walk--like not reacting to a car or not reacting to a dog, etc. She acted so nervous and goofy tonight that I think the instructor forgot how good and smart she was last week. Ellie didn't pay much attention to me tonight at all so I guess the instructor wanted to use the lure to make her interested in watching me. If it had been up to me, I would have just used some gentle leash guidance along with my voice to let her know what I wanted. But you see, I know my dog, Ellie is SO smart that she quickly figured out tonight that she just wouldn't do anything unless there was a treat involved. That's why when we started to work on practice drills after her two week boot camp she was trained without treats DURING the drills. She got treats after. She got TONS of verbal praise and physical pats and voice praise and she learned to work for that. I know I said this before, but she got totally confused tonight. Constantly feeding her treats and using treats for lures for things she knows how to do in her sleep is NOT the way to work with my waaaaaaaaaaaay too smart Sheltie.
Yep work her like you know how.