The first sentence of the passage says that most of the young singers adding difficult roles lose their voice, which means that most of them are not “the few singers who don’t strain their voice” but instead those that lack the proper technical training.
This still doesn’t seem right to me because the first sentence says that most of the young opera singers with difficult roles lose their voice.
So, for example, we can have many young singers that are not opera singers (country music, rap, rock, etc.) which make up the majority of young singers who strain their voice, and the young opera singers could still be the group of young singers that are not included in that majority.
The first sentence says most young opera singes, the correct answer says most young opera singers.
You could try and argue that the explanation, vocal cord strain, does not necessarily apply to them, but “vocal cord strain” replaces the cause initially attributed to loss of voice for young opera singers, insufficient power.
Finally, the correct answer doesn’t necessarily have to be 100% airtight, just “most strongly supported”, which, given how terrible the other options are, it is.