This is a great idea. I have observed your team's methods and looked through their research papers, and I can seem to agree that the data points, despite the lack of graphs and diagrams, seem to line up very well to prove several other theories that could even be far outside of the standard Jungling Research fields.
I am fairly certain you are aware of the Law of Recurring Vayne Mains, where it is said that every Main that is attached to that of Vayne is subject to Toxicity values well bordering 0.75 given unfavorable conditions (for reference, an average main particle that is not a troll will exhibit around 0.1 toxicity, and maybe a spike to 0.3 if an imperfect play was made, as well as a spike in immediate sodium levels found (I assume you already know this, though))
Now, in a closed jungle environment, let us, just for the purposes of this example, assume that we have a Recurring Vayne Main playing in the jungle (we don't have to assume they are or are not attached to Vayne at this particular point in time due to the nature of the theory). If we account for the abnormally high toxicity, we use the following function:
sin(Toxicity/Sodium)+ | -10(Kills / Deaths) | + (LaneMetaSynergy) + (ApparentSkill / e) + (Ping) + (ChampionsOnScreen x 100) + (Rank / -RankDivision) = Apparent LAG experienced
[Just a note: LaneMetaSynergy is a percentage dependent on all of team synergy (how well they fit in team comp), champion synergy (how well they fit in the particular role they are in), and meta synergy (how well they are currently doing given the appropriate meta shift given to Phreak's Law). However, as we all know, Vayne is the perfect champion in the eyes of Rito, so this value will always be at 100% no matter the situation]
Now, if we can assume that these values are true, and we are using the average non-troll Vayne jungle main (I know, kind of oxymoronic, but again, this is all in theory) with high skill levels (because, again, Vayne is the perfect high-skill champion in the eyes of Rito), and the Vayne is currently going at 0/0, Silver 5, and with a ping averaging around 60 (values according to recent server move, assuming they are on the east coast), then they will experience LAG values of the intensity equivalent to 2000 ping at a 24.5321% recurrence (if all 10 champions are on screen, this drives it up to 79.4625% recurrence)
I know applying these theorems to Vayne mains may seem strange, but perhaps a same system could be applied to calculate relative LAG among other champions? Thus, if we can calculate the relative lag for a given, standard scenario for every champion, we can determine an average for the EGG as you discussed. Then, we can run more tests, trying to fabricate Sated and non-Sated Devourers for the value of the test, and seeing how exactly they contribute to this effect.
I've asked the Ministry of Jungle Research and Meta Development in Relation to the Jungle if they can crate enough graphs to convince the scientific community of our findings.