I don't know it the BSF will eat the worm eggs. I doubt it though because I've communicated with several worm keepers about the two species in one bin and no one has mentioned it.
I do think BSF grubs will eat their own dead eventually. At first I didn't think so because I had seen dead ones untouched for long periods. I think the reason it takes a while is that BSF grubs can't penetrate their own touch outer skins until they soften from decomposition. BSF are designed to consume things that are decomposing or otherwise soft. The thin skin of a tomato will stop them but if you make a tiny opening they will devour it quickly.
BSF reportedly survive until temps reach 116ºF. I wouldn't want to see the colony much over 105º though. I guess you would want to have as much ventilation as possible and maybe 100% shade instead of 95%.
