What is the benefit of one over the other? When would either be used (besides as a layer feed. I’m asking about protein content). Thanks!!
We all have different opinions on how much protein is appropriate or necessary. Some of that depends on your goals. Some depends on what else they are eating, if they eat anything that is not that chicken feed. It's not how much is in one bite, it's how many total grams of protein they eat each day. If they are foraging or you are feeding them "treats" it depend on how much protein they get from those.
The more protein growing chicks eat the bigger they grow, to a degree. When they reach maturity those larger bodies require more protein for body maintenance. For some people size is important. I personally don't worry that much about it. Those feeds you mentioned are Layer with too high a calcium content for growing chicks and should only be used with laying hens. They are not going to be appropriate for any other chickens due to the calcium.
The real difference in a higher versus lower protein content for laying hens is that the higher the protein content they eat the larger the eggs will be. On a practical level you probably won't notice much of a difference in 16% or 17% protein content, even if that feed is all they eat (no foraging or treats). If you switch from a 16% Layer to a 20% Layer you might notice a difference. The best way to tell the difference is if you weight the eggs.
To much protein content can damage internal organs but you are not close to that. The numbers I've seen are that you'd have to feed 28% to 30% protein for that to be an issue.
Another one that I don't think you have to worry about at all is that higher levels of protein can cause a hen to release more than one yolk a day to start the egg-making process. If two yolks are released at the same time they can lay a double yolked egg. If the yolks are released at separate times a hen can lay two eggs in a day. Since a hen typically only makes a certain amount of shell material a day the second one is often soft-shelled or really thin shelled. Each hen is different so there is no set percentage of protein where this kicks in. You are not going to see a difference in this between 16% and 17% protein feeds.
Yours should be just as healthy if you feed 16% or 17% Layer. To me about the only difference should be a slight difference in the size of the eggs.