Plating can weaken High Strength Steel, by hydrogen embrittlement. I don't think your stays, though strong, are made of High Strength Steel.
Chrome plating is usually mostly nickel with a veneer of chrome over that, so most, but not all nickel and chrome plating processes are essentially the same.
"Triple Chrome Plating" really means nothing because it can mean copper-nickel-chrome and it can mean semi-bright nickel-bright nickel-chrome or anything else the plater wants it to mean. Anyway, it's zincate, then copper, then semi-bright nickel, then bright nickel, then chrome that the results in the highest quality, but beware, its not cheap.
But as you probably won't be doing this in your bathtub, ring a few plating shops locally and talk to them. Ask what they do and how either process can affect your stays.
FWIW, Rickman frames are/were Nickel Plated. The new Gas Gas steel perimeter frames are nickel plated, Trackmaster frames were/are nickel plated... and the list goes on. Might be because of cost, but none of them were chrome.
It's your money. Do what makes you happy.
Just my $.02 worth. Your mileage may vary.