If we then put the wood inside, and then a wooden top to form a seat - if we pull in the heat from the top of the greenhouse to the bottom of the box with venting tube as a fan, it should help heat the wood, and also super dry it - a wood drier is another thing on our to-do list!
If you are watering growing plants in a greenhouse, I think that the hot air at the top of the greenhouse will be humid. The way I see it, this consistently warm air going by your wood, if it is moist air, is not going to dry your wood. You wood is seeking equilibrium with the air in regards to humidity. Dry air will dry wood, wet air wont. Or is this just a greenhouse type of a structure, but not used for growing plants?
At any rate, wood has some very interesting properties, but it is hard to classify all wood as the same. Some wood has a much denser body compared to others. Regardless of this, though, wood does indeed have some strange thermal capacity.
There is something to the notion you are putting forward. A log home builder friend of mine told me that heat coming up against a round log enters it very slowly, and follows the curve of the grain as much as penetrating to it's core. It takes a long time to heat a log cabin if it has been left without heat for a time so that it is the same temperature as the winter cold outside, but once it is up to temperature it holds that temperature very well, and is quite easy to keep warm.
I've heard the term thermal inertia used to describe this other relationship that you are referring to, but when I look up that term I get something different, so I'm not sure. But that's what I think of it as.
So, in my thinking, there is something magical that happens when a body of material is both insulating and has thermal mass, that allows the sum of the two to be greater than expected. The way I look at it, and I could be wrong, as I have not done scientific experiments with these things: A volume of sand is similar in this capacity, since it has air pockets that solid stone or concrete does not, but it has some very dense material that acts as thermal mass. The air in the sand volume does not flow, or move easily at all, it is just a bunch of little individual pockets of air, and heat does not transfer from sand grain to sand grain at the same speed that particles within a solid stone or concrete wall are transferring heat, and yet, if given time, the sand volume, and it's little air pockets do indeed heat up, transfering heat throughout all the sand grains, and once it does, again because of the air in the sand volume, it takes a long time for the heat to be released into the surrounding air. I (probably wrongly) call this thermal inertia.
That's my two cents.