I have a inland lake house 25 miles from Lake Superior and ice fish it all the time.
Any lake trout under 27-30 inches is great eating.
Anything bigger, like the one in the video, is just too fatty to eat.
Almost all of the big lake trout are the "siskowet" strain, called fats locally.
The other two stains are leans and humpers.
The lean is the one you eat, the humpers are siskowet/lean crosses and if small are ok to eat, but a they get big they're no good.
Siskowets live very deep and their meat is very fatty, mostly inedible.
My other house is near Lake Michigan and I wouldn't eat ANY lake trout from there, too many pcb's etc. and they don't taste as good as from the cold, clean Lake Superior water.
I just caught this 23" brown trout last weekend. (We caught several splake, a lake trout/brook trout cross, as well).
We were fishing out in the Apostle Islands, about 5 miles out from Bayfield by snowmobile.
(If you look closely, you can see I'm wearing a zip up Mustad floatation vest under my parka.)
My best lake trout through the ice is a 36", 16 lber.