I wanted to ask if Huawei apps like "Huawei Health" will run on phones with an Android system.
May be, but need not be. You can try it out.
Why shouldn't Android apps run on Android?
Funny question… 🤔
They would also have to run on other devices.
Huawei also uses Android on its current devices. The apps are programmed for Android and run on Android.
However, it could be that the apps require certain services or APIs from Huawei that are only available on Huawei devices. The Health app may need a step counting service.
Huawei may also block apps on devices from other manufacturers.
It's best to try it out. If the app is not in the Play Store or should not be compatible with your device there, it does not mean that it is absolutely incompatible.