Oak and chestnut heartwoods are almost identical in appearance (save the oak medullary rays) and tannin content leading to similar durability although chestnut shrinks and expands slightly less.
…but oak has superior properties in terms of strength, flexibility etc and is heavier. So, I'd be very surprised if these shoes weren't made of oak heartwood. Sapwood rots very easily and quickly.
I'd also be surprised if there'd be much benefit in additional preservative as it would wear off quickly at least on the underside.
Seasoned oak heartwood will last for years untreated provided it's either always wet or always dry, it's the repeated wet/dry cycle that leads to deterioration. The problem with preservative coatings like paint/tar etc is that they can often let in and then hold moisture that would otherwise run off and dry quickly and that can encourage rot.
I'd stick to the natural maple or lightly colour with perhaps a light oak stain. although the end grain will tend to go "over" unless you're careful.
HTH
Jon
Edited By Jon Gibbs on 15/02/2016 16:33:45
Edited By Jon Gibbs on 15/02/2016 16:42:55