This wasn’t my experience, (here’s my morning routine) but a lot of people report something similar to what you wrote. Once you’re fat-adapted, you free your body from needing to continually snack as one must do on a high-carb diet. Which might be one reason food manufacturers don’t care for keto.
Not many people report being fully fat adapted in 5 weeks, too. Are you limiting your carbs to 20 total grams a day, and not doing net carbs? It sounds like you might have to “push through” but it’s rare that I’ve read where someone was not rewarded for sticking to it. In the meanwhile, I stayed at 20 grams, regardless, and never snacked around my exercise.
One other thing, we’re discovering that exercise isn’t a primary or secondary weight regulation mechanism. In fact, it complicates weight (or, I suspect body fat reduction, the true goal for most people) If you exercise for enjoyment, I’m right there with you. If you must exercise because of the failing CICO-based advice from media and dieticians, that advice is nothing more but a bill of goods.
One more thing: check out the Ketogenic Athlete podcast. The name says it all. You can nearly always safely ignore the first third of their podcasts (rambling ad-hoc chatter) but they have world-class athletes as guests that are Keto, LCHF or paleo, and discuss what it means for their routine.