The whole premise of that "You can’t exercise your way out of obesity" is that you burn more calories when you start running than later on as you continue. What's so controversial about it? It's normal that body optimizes for energy expenditure that's why we develop strength, endurance etc. And that's why when you're truly doing sports you're running more, faster, lifting more, etc. you increase the challenge to give your body greater burden to carry.
If I start lifting 20lbs and 3 years later I still lift that of course I won't lose weight.
You have that same thing in other disciplines - "historians" who can't make any meaningful contribution yet want to make name for themselves go on claiming "that or that king was gay" or "vikings were trans" or whatever fits the trending topics of the day and they get media exposure.