Personally I don't understand why anyone would feed scrambled eggs to chickens that get 16% protein (unless they have a sick chicken that needs extra nutrition) to increase their protein intake. The protein content is to help them produce eggs. If you are then going to feed the eggs back to them to help them produce more eggs, it just doesn't make sense to me!
Personally I think 16% is fine. Here in the UK most grower is also just 16% which I'm also OK with. I don't feel like I need to push my chicks to grow at a certain rate. They will mature when they are ready. Yes moulting and re-growing feathers needs extra protein, but they are not usually producing eggs whilst they are moulting so the protein from their feed that is not being used for egg production, can and will be used for feather re growth instead. Of course, some people want their hens to lay through moult or get back to laying asap, so a higher protein diet may help boost that along with supplemental light. Personally I think that all costs extra money and the chickens are better having that down time over winter for their bodies to recuperate.
Some people say that heavier breeds need more protein, but heavier breeds normally lay less eggs that the lighter weight leghorns and hybrids, and are usually a bit less active, so it balances itself out in my opinion. That said, 16% layer has been developed for the commercial market where birds are not able to forage and is no doubt the optimum protein level for commercial egg producing birds that have access to no other food. If you are feeding your hens scratch, rice, pasta, bread etc which are lower in protein, then they will eat less of their layer feed and their overall intake of protein will be reduced. Then again they may also get bugs,worms and meat scraps which will be higher in protein and so perhaps bring it back up to 16%. It can get pretty complicated trying to work it all out, especially when you have no idea of how many bugs they are eating or grass they are filling up on, which is possibly why some people err on the high side and go for 18-20% but here in the UK that is nearly twice the price of 16% layer, so I don't think I will be changing anytime soon. I get quite enough eggs as it is and I give away the vast majority of them anyway.