Eteri's biggest "miracles" were Alina and Alena. Both were performing poorly before going to her, and neither were skaters you would've looked at twice. Actually, both of them were so far behind the more promising novices and juniors at the time, who they would eventually overtake by a large margin. They both had a mixture of inconsistency, small underrotated jumps, poor choreography and packaging, and the federation didn't even consider them for test skates - Alina actually didn't qualify for international events her first junior season, and Alena almost didn't (she wasn't on the JGP entry list and was only given one of the last spots after a cup even, IIRC). And then somehow, by their first international season, they both did extremely well, it just clicked for them. Their jumps were not only more consistent but bigger, their layouts had much more difficulty, and their spins were also much better.
On the other hand, Sasha and Anastasia Tarakanova were already stars before they came to Eteri; Sasha for her jumping ability even without quads, and Nastia for her skating skills. Same with Valieva.
Yulia, Evgenia, and Anna were all well known before they made their international debut; it was expected that they'd do well. The biggest surprises were Alina and Alena, the stars definitely aligned for them and they definitely came out of nowhere.