The basic rule of making your cooking taste good is to whack a load of salt, butter and/or cream in it. The amount of butter I see some chefs put in their dishes is horrendously heart attack inducing. I’m sure it tastes great BECAUSE YOU USED A SHIT LOAD OF BUTTER.
Doesn’t mean you need it and keeping it simple with just a bit of butter and salt is perfectly fine as long as you cook it the right way. You don’t need to put milk in to make it creamy either.
As for omelette, ole Jacques Pepin does the trick. Ramsay saying scrambled eggs is the true test of a chef was nicked from Pepin who got chefs to make omelettes.