This would make a lot of sense if the de-facto restaurant experience involved you cooking your own eggs, especially if the egg-cooking experience was notoriously laborious and expensive.

If we swap "egg" and "cooking" with "VM" (or "bare metal" if it suits you better) and "maintaining", suddenly "serverless" doesn't sound so ridiculous.

Agile isn't really agile. Cloud computing isn't really in clouds. Personal computers aren't that personal. Serverless isn't really serverless. Who cares.

If "egg" was an overloaded term that meant the noun "egg" and the noun "process of cooking an egg for an omelette", then yes, you could.