The two pieces of evidence from the passage that support the connection that Large Blue caterpillars do not pose a significant threat to the oregano plant are:
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"Large Blue caterpillars only gain 1 to 2 percent of their body weight by nibbling on the oregano leaves during the early stages of life."
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"The overwhelming majority of their sustenance—98 to 99 percent—comes from eating ants."
These statements indicate that the caterpillars only consume a small amount of the oregano leaves and primarily rely on ants for their nourishment, suggesting that they do not significantly harm the oregano plants.