Since Scarlex is a topical germicide and fungicide, often used for minor abrasions, wounds and treatment for leg mites, I can't see where it would adversely affect the eggs. However, I don't claim to be an expert I just old.
I've never used it but from what I've read it should be ok to use on minor cuts, abrasions. Not for punctures and serious wounds. Sounds similar to Blu-Kote. I'd say it's safe for what you want to use it for and I agree with Opa that the eggs are safe to eat as well.