For the source text click/tap here: Pesachim 57
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A person who brings a sin-offering has a choice of either bringing a sheep or a goat. If a sheep is brought, no one will know that it is a sin-offering, as it could also be a voluntary sacrifice; a goat clearly indicates that the sacrifice is being brought because of a sin.
This might have informed the curious debate between the king and queen as to the preference of goat meat over lamb.
Other contenders for reifying this debate to the spiritual realm includes the the debate between Isaac and Rebecca about their sons Esau and Jacob.
In an effort to make sense of this enigmatic piece of haggada/history we turn to the midrashic/chassidic masters to forge a connection between the king and the queen, the goats vs. the sheep and possible biblical archetypes, that of the character of Jacob vs Esau in determining what type of spiritual being is superior, a tzaddik or a Baal Teshuva.
To one extent or another, this debate rages on in our present day and age between those who choose to concentrate all their energies on the insular life and those who insist we have to step out into the world and confront our reality.