I don't really know where you're going with this metaphor. But my first thought was this: a materials engineer might write a very interesting paper about the physical properties of those different eggs, but until those physical properties are somehow connected to the actual life processes of quals, duck and chickens, and the reproductive function of their eggs, then the the paper is not a full-blooded contribution to biology. Of course it might still be very helpful to biologists.One can, in fact, talk about, or even write an entire academic paper on, the differences between a chicken egg, a quail egg, and a duck egg, and never reference a single specific recipe that uses eggs!
An account of (say) the mathematics of dice rolls or the physics of a Jenga tower might be useful for RPG designers. But on its own it is not a full-blooded account of a RPG mechanic.
I've seen posters assert (for instance) that 5e D&D uses a common mechanic across combat and non-combat because an attack roll and an ability/skill check involve the same process (d20 roll + adds, with the adds derived in comparable ways eg by reference to stat bonuses and proficiency numbers). I think that assertion is false, and obviously so, because the consequence of a successful attach roll is (at least in the most generic case) purely a further mechanical determination (roll damage, adjust a tally) and the consequence of a failed attack roll is that there is no change in the game state, whereas the consequence of a successful ability/skill check, and often of a failed one also, is a direct change in the fiction.
Once this difference in the two mechanics is noted, quite a bit of the play experience of 5e D&D, and the discussions that occur about that experience, becomes readily understandable.
(Nothing in this post adds very much to what Vincent Baker said about this stuff back in 2009. I don't think that Baker is the last word on RPG design, but I do think he has shown that one can't talk about how to individual RPG mechanics without reference to their effect, which includes how they relate to the fiction.)