The moment Sherlock woke up and called Iver "Moriarty," Iver's heart suddenly skipped a beat.
Something seemed a little off.
Iver knew Sherlock very well. The great detective usually had no sense of boundaries at all. Whenever inspiration struck, he liked to do things on his own, only explaining what he had been doing after he had finished everything. When speaking with friends, he generally called them by name—or even by a nickname... Conversely, only when speaking with strangers or people of sufficiently high status did he maintain a distant politeness and reserve.
...Of course, when Sherlock was putting on airs and being sarcastic, he would occasionally address him slowly as "Mr. Moriarty."
According to the Imported CG, in this world line, Iver and Sherlock were even closer than Iver and Isabel. That was why Iver had directly called him Sherlock: to prevent this overly perceptive Sherlock from discovering that he wasn't the real Iver.
Before meeting him, Iver had actually been quite wary of Sherlock.
A friend who was too clever, too perceptive, and too suspicious—and who knew him far too well—could easily make him give himself away in front of them. Especially since this world itself possessed abilities that could disguise someone as another person or alter someone else's perception. Suspicion was not entirely unjustified; it could only be considered sufficient caution.
He had even considered simply knocking Sherlock unconscious. Once he woke up, he would knock him out again, repeating the cycle... Then he would send him directly to Theocracy to complete the mission.
As long as he did not interact or communicate with Sherlock at all, he would absolutely not expose himself in front of him.
...But very soon, Iver realized that the things he was wary of applied equally to "Sherlock."
But merely saying "Moriarty"