Only thing different about American "HE" detergents, is the addition of foam control agents, and perhaps some chemicals to prevent dye transfer and so forth.
It is plainly obvious that American "HE" detergents aren't that much different than their cousins of the same brand, because dosages are given for HE and normal washing machines (read top loaders). This is the same as it was back in the day when there were low sudsing detergents such as Dash, All, and a few others that could be used in front loading, top loading, wringer and twin tub washing machines.
Tide "HE" formulas are VERY high sudsing, and using anywhere near the recommended dosage in front loaders normally causes excessive froth. For top loading machines I'd start with half the recommended dose for top loaders and see where that gets you. Remember by nature "HE" detergents aren't supposed to create masses of foam, but still will get one's laundry clean. It was the lack of foam that put housewives off early detergents, because they didn't foam like soap, Mrs. Average American Housewife thought the stuff didn't work. So detergent makers added foaming agents to keep Her Indoors quiet, and sales took off.
Suds are NOT an indication of cleaning power when it comes to detergents. Soap yes, but not detergents.
L.