Depending on what the term 'home cooking' or 'loves to cook' implies in the 24th century.
Do we have any concrete proof that he's been using real eggs and hasn't replicated them for the sake of preparing them 'the old fashion way'?
It's certainly possible.
;-)
Then again, the term 'real' is very inappropriate here because replicated food is just as real as the original.
Exact duplicates.
Just because humans like to utilize primitive terms in a capacity that's not really even applicable is another story.