Yes, Apple Health is an Apple Product. But Komooot is NOT. Apple doesn't own Komoot and Apple cannot do anything with the code in however you access Komoot. Only Komoot can work with Apple for their product to sync into Apple Health. That's why if you want to know how or if it even can, you need to contact the App Developer for Komoot.
Also, just in case you think you're communicating with anyone from Apple here, you are not. This is a user to user only forum. But I've been here for more than a decade and I know Apple would recommend you reach out to the App Developer for help with their product as well.
Here is a link to the app on the App Store, which at the very bottom gives you ways to reach out to the App Developer --> https://apps.apple.com/app/komoot/id447374873