I think you're basically agreeing with the video i shown, yet missed half the point. Losing weight is depend on the input of energy and not the output of energy. As i stated, riding an ebike not gonna help much on losing weight but since OP's choice isn't entirely based on losing weight, i think your point and mine is moot.
I myself is a subject of both side of the argument, i work blue collar and use a lot of energy working, while i didn't exactly change my working habit, i've been stress eating a lot lately, which in return gain some weight. On the other hand, after getting an ebike my riding distance rise from 0 to 50km per week. So yes, i understand your point and both POV is true, but my point still stand, exercise won't help you lose weight, but it will make you healthier.
Edit:
It's also based on how you ride the ebike, the proponents of s-pedelec/class-3 doesn't usually pedal and mostly use throttle, which in the end doesn't get you any exercise at all. When OP mentioned 1000w ebike i first assume they're one of them, that's my mistake.
Your article suggested the same:
It's important to note that not all e-bikes are created equal when it comes to exercise benefits. The study found that class 1 e-bikes, which provide pedal assistance up to 20 mph, were the most effective at promoting physical activity. This is because riders still have to pedal and put in some effort to maintain a consistent speed. In contrast, class 2 e-bikes, which have a throttle that allows riders to cruise without pedaling, were found to be less effective at promoting exercise.
I own a class-2 but i pedal most of the time, only throttle when interact with junction/intersection/roundabout
