This would only really be implied if the price increase was just because the current egg producers have increased their price to take more profit. If the price increase come because producer's costs have risen, there's no reason to believe a new entrant would be more profitable.

Of course you know the joke about two economists walking through a busy train station. One points out a $20 bill on the ground, the other says it's obviously fake, because if it wasn't someone would have picked it up already