I would definitely cut out any grain & pony nuts. Happy hoof seems fine, and I would look to improve her nutrition with a good quality supplement or (grain & sugar free)ration balancer.
Unfortunately 'little paddock with little feed' is a very relative statement. I would be allowing very little grazing of growing grass, either by restriction or muzzle but the horse still needs about 2% bwt in forage daily, so hay may be best option. Hay can also be soaked to further lower it's sugar content.
Normal 'turnout' usually means very little exercise, especially if the horse is alone in a little paddock. Exercise is also a big key regarding laminitis & weightloss. Especially if your friend can't exercise the horse more, a 'paddock paradise' type setup may be possible, &/or keeping the horse with company to motivate movement.