The first thing I read is potato berries themselves can’t be eaten as they may be poisonous. I’ll have to study all that information and get back to you privately.
The Sunflower tuber I’m speaking of is the white tuber that looks like a Russet potato - not the kind with all the bumps on it. The bumpy ones are common but not the white variety. The white variety is grown for food.
No, you don’t eat the berry. You let it ripen and harvest the seed, dry it and plant it.
You don’t eat the seed potatoes, either, once they turn green.
As for the Jerusalem artichoke, I’ll take your word for it. The ones here were highly touted to the farmers and the back-to-the-landers in the 70s by the local Extension as an alternative food. I’ve never dug them up. I vaguely recall someone giving us some tubers once, back in the day. Tasteless. Sort of like water chestnuts, IIRC.
I have them lining my drive. Pretty flowers.