Assuming that moderators are on-topic; how are they called up for an aliyah? Is the diamond mentioned?
It's been discussed before elsewhere on the network, though with an appalling lack of Jewish sources.
What do Jewish sources have to say about including a diamond (♦) in a moderator's name for aliyos, legal documents, and the like?
This question appears to be off-topic. The users who voted to close gave this specific reason:
Moderators can quit or be ousted. On the other hand, a diamond is forever. Therefore, the באר היטב argues, the diamond can't be part of the moderator's name.
But the ארוך השלחן refutes that argument by noting that "a diamond is forever" is a slogan of De Beers whereas on Purim we're supposed to drink De Wines.
Your title and body ask two different questions: is the diamond part of the name, and how do we call a moderator up for an aliyah? Those are not the same question.
When a rabbi is called up for an aliyah we call "HaRav Ploni ben Ploni", but "HaRav" is not part of his name; it's a title. While it's extremely rare, should Ploni one day stop being a rabbi he'd lose the "HaRav" but his actual name wouldn't change.
Moderators are more temporary than rabbis, so kal v'chomer the diamond couldn't be part of the name.
As for how to call a mod to the torah, you don't add any words, just stress one syllable more: "ya-amod..." (or, where I daven, possibly "ta-amod...").
When calling the person for an aliyah, the diamond is mentioned only if the person is a Levi, as it says in Shemot 28:18
וְהַטּוּר, הַשֵּׁנִי--נֹפֶךְ סַפִּיר, וְיָהֲלֹם
Meaning:
The second turn (i.e., the 2nd aliyah) is for a carbuncle, sapphire and diamond.
