Your post is as full of wifes tails and misunderstanding as any. Sorry for being blunt and strait forward, and its not entirely about you. You are just another misinformed person, most likely doing the best you can. So I apologise in advance. Is just so sad, to constantly see this naivity, when good information is abundant and easy to access. Again sorry.
The truth is, you can feed eggs to savs, eggs of any kind, I imagine. Eggs will not hurt or harm them. About your fertilized chicken eggs, they are fine, no better or no worse then an egg from your local CircleK(corner quick service store). The addition of eggs to a good base diet is not problem what so ever.
Your statement about Savs getting obese from a diet of mice and eggs, is silly and wrong. It also shows a misunderstanding of reptiles. Which is the REAL PROBLEM HERE. About the hopper chasing, thats nice, but that is not exercise. Its about like you spending ten seconds on a stairstepper and saying you exercised. ITs OK just like your eggs, but its also just like your eggs, nothing of real benefit.
Back to the real problem. The problem is metabolism and Savs being REPTILES. THE difference between reptiles and mammals is simple, ones warmblooded and ones not, ones cold blooded, no wait, an ectotherm. Hmmmmmmmm thats not right either. Ok, one gets keeps a constant body temp(for the most part) and the other does't(for the most part) How about, warmblooded animals have a consistant even body temp, like us, 98.6. Some mammals have a higher temp, like dogs. One doesn't, the reptiles.
Mammals also create their body temperature mostly internally, by the burning of energy. Reptiles are NOT mammals(your BIG misunderstanding) They do use metabolism to regulate temperature, but they most regulate it by using their enviornment, hence, ectotherms. Simply put, they move to warmer areas to get warm and cooler areas to get cool, again, ECTOTHERM.
Why this is important. CAPTIVE reptiles get obese because they are NOT allowed to reach full operating temperatures. They are also not allowed to operate. Your approach is what I call a bandaid approach. Your not fixing the problem, your simply postponing it with minor measures.
What seems like the hard part to understand is, reptiles(of course in this case monitors) REQUIRE, a range of operating temps, including temps ABOVE what mammals use, and below what mammals use. THIS IS WHAT A REPTILES ARE
They must have a range of temps to properly operate. Which is the opposite of you. If your body goes either above or below its operating temperature, it does not operate very well. Can you imagine how little you would have to consume if your body temps were 94F? a mere 4.6 degress below normal. With that in mind, what do you thinks happening to your Sav?
This is what folks do to monitors to cause them to become obese. They do not allow them to reach operating temps. They don't understand monitors are reptiles and what reptiles are
When reptiles are kept at the wrong temps, it does not matter what they eat, it will not work properly. The REAL MORE ACCURATE fact is, if your going to keep them under-metabolized, you cannot feed them high energy foods. And yes, rodents and eggs are high energy foods. But the foods are not the problem, its not understanding how the animals works, thats the problem.
So yes, you can keep your Sav undermetabolized and feed in poor foods. And have it live in a state of limbo, never achieving lifes events(it takes high energy foods to achieve lifes events) Or allow it to do what it is designed to do, pick its temps as needed and eat foods that will allow it to fullfil its design and achieve lifes events.
What most are doing is keeping their poor animals in a state of hibernation/brumation. Do you know what that is? Thats when a reptile in this case, maintains its body temps at the lowest possible level in order to survive periods of adverse conditions, They do this by using the least amount of energy. Be it heat, or cold or drought. At low levels of metabolism, reptiles only hope to survive and live long enough to try to achieve lifes events.
STOP THE HIBERNATION and allow your reptiles to live. Then you can feed it a huge range of food types, both high energy and otherwise. Then all will actually be of benefit.
Again I apologise for me being me, blunt and to the point. I happened to watch our local basketball team play in the Jimmy V classic last night. Jimmy V was a coach that died of cancer. He gave a talk at the Auther Ashe cancer foundation just before he died. He ended his talk with, "don't give up, don't ever give up". While people love him and respect his attitude, I have to wonder is that what your monitor is doing. These monitors try so hard to not give up, to never give up. Yet we do not listen. Sad.