Will late-harvests "thicken" with age?

[wdonovan]

This is my third attempt at this question.
It regards the aging of any sweet botrytis wine like sauterne, BA, TBA, etc......

We just uncorked a 375 of '96 (I think) Madonna BA and it was one of the thickest, fullest late harvests we've drunk in a while. The confusion came when I read the price tag at $13.25 American bucks. I know I didn't buy this more than a year (or two) ago and it hadn't survived the store since '96 so .... I was wondering why it was so cheap and so good. My theory is that time has actually enrichened this wine because I just can't believe that a BA this full could be that cheap. Can time have that kind of effect on a late harvest or is this just dumb luck? IE, will a thinnish dessert wine like this be "thickened" (made to seem fuller, sweeter) by giving it time or is the fullness something that's in the bottle since it's corked?