I rarely use egg patterns anymore. Mostly cause they catch too many females and it is just a personal preference. When you are confident, your fishing will show it, and you can use about anything you want. Eggs will still catch their share of fish, I just found I catch bigger fish on streamers. I learned with an egg and a nymph or streamer, but I just started to remove the egg especially in clear conditions. After a while, the egg seemed more for my benefit to know where the flies are in the water. I started fishing the streamers more like bass too and giving them some lively action which triggers a vicious strike. Eggs don't move that way naturally and I feel they hinder my presentation.
If I had only one fly, it would be a sculpin head with a wooly bugger body on great lakes steelhead. But when it is cold or fish are negative, I do more damage on size 10-14 nymphs. But I still like using the streamers cuz the strike is exciting.