Although the Elves were being quite unscrupulous, Lyle did not expose them.
Peace is a precious commodity.
More importantly, this was Andrey's first attempt at making contact with an external race. To let the Liches feel goodwill from another group, even if it was false, a world built on lies was what Lyle intended. "The Birth of Music" symbolized the harmonious and fraternal relations between the literary society and the Elf Race, and Lyle could not bear to shatter it. Presumably, the members of the literary society felt the same, given how... diligently?—they observed.
The green glow of the Emerald Tree filled the entire dark space with a bright yet gentle light. It was because of this light that Lyle had only now noticed the subtle movements of the Liches nearby.