Not all icons are displayed at center top.
Many are only displayed when you show control center (swipe from bottom of screen upward).
Details here in Apple's doc:
I could not find any information on display precedence, even less whether it's possible to change or not.
- ask question to Apple's suppport
- depending on answer, filea feedback for improvement (of documentation and / or functionality).
Did this clarify ?
Thanks for the response, however all that you have mentioned is already known. I am specifically asking about status icon display precedence and icon cycling in the Watch face.
The status in the control center is unrelated.