For those not familiar with moderator messages, see https://meta.stackexchange.com/a/119106/147015:
Sending a mod message (whether suspension is included or not) puts a permanent mark / annotation on the user's account as well as notifies the other moderators on the site and several Stack Exchange employees. Do not use it to respond to the user's flags or for other non-serious issues.
As I understood, having such a mark, i.e. if I was once contacted by a moderator, will be visible for the moderators forever.
Where is it visible? On my user page, in my flair, in some moderator-only user information page (if there is)? What exactly does a moderator see?
Although there are no disadvantages in the SE rules linked directly to this mark, the formulation clearly shows that it is not a positive thing. It corresponds well that a moderator message happens always regarding some serious circumstance.
I am only curious; what does a moderator see as they see my mark/annotation on my user page, to get a better understand on their actions and decisions?
P.S. I have this mark on most of my higher-rep accounts, thus moderators of these sites can make a screenshot in two clicks.