"I don't know based on the rulebook."

The rulebook does not explicitly state whether cached eggs under dragons count toward public objectives for eggs on the player mat. While the rulebook mentions that cached resources (including eggs) remain in place until the end of the game and are worth 1 VP each unless otherwise specified (Page 8), it does not clarify whether these cached eggs are considered part of the "eggs on the player mat" for scoring objectives.

To answer this question definitively, the rulebook would need to specify:

• Whether cached eggs are treated differently from eggs placed in nest icons for public objectives.
• How public objectives for eggs are calculated.

Source: Wyrmspan Rulebook (pp. 14, 2, 8, 9)