Are you talking about making omelets in a plastic bag from fresh eggs? Or are you talking about making eggs, dehydrating them, then re-hydrating in a freezer bag with boiling water?
For the former, I would think that you need to boil/simmer for that amount of time, to initially cook the eggs. I don't think a cozy would keep the water hot enough to fully cook the egg?
For the latter, re-hydrating eggs should be just like re-hydrating any food. Add boiling water, and let sit in a cozy for ~10 min. I hope this is what you are thinking of. I would think fresh eggs would be heavy, and the possibility of making a gooey egg mess if you break them...