Will late-harvests "thicken" with age?

[Kcwhippet]

Two things. If you gave us a bit more information about the wine, we could give you a much better answer. What grape is the wine made from? Where is Madonna, for instance? If we knew the actual winery, it would be so much easier to come up with something that would bw better info. Combined, a number of us know hundreds of wineries (WW probably knows more), or can easily get info on their wines - if we knew the actual winery. There are probably 5 to 10 wineries with Madonna in their name and many of them make dessert wines.
Next, I can't think of any wines that get thicker with age, other than the sediment an aged Cab would have in the bottom of the bottle. Many dessert wines seem thicker, or syrupy, because of their higher residual sugar content.