There's a book by Paul Bergner, The Healing Power of Minerals, Special Nutrients and Trace Elements. He's got a graph comparing select mineral content (cal, mag, iron, phosphorus, potassium, zinc, copper, manganese) in white sugar, honey, brown sugar, regular molasses and blackstrap molasses.
There's not a lot of difference between white sugar and honey, they're both mineral depleting, even brown sugar has more of most of the minerals he lists, and though there are a couple honey's a little better on (than brown sugar), zinc and iron, the amounts of either are dwarfed by other food products.
He says that blackstrap molasses is the only one that's a net gain, nutritionally, and it's a really nice mineral supplement (should've expected that given how unappealing I find the flavor

). Regular molasses isn't as good, but it's noticeably better than either of the sugars or the honey. He doesn't include maple syrup, but based on flavor, I'd guess the mineral content isn't great--it really does seem like really mineral-dense foods have a very strong flavor.
That said--I'm still working on reducing sugars from our diet, and I use honey in unheated sweet treat applications. It's yummy, and sometimes that's good enough for me.