Your definition is quite right according to numerous websites that define the terms (google "define: hardwood").
My and mine have always referred to hardwood quite differently, though. For instance, we have a "hardwood" maple in the backyard, but a couple of "softwood" maples growing elsewhere. It is the hardwood variety that my dad likes, but the different types make for better syrups.
I was a bit confused as to why they would call poplar a hardwood, as most of my family have always thought of it as a junk tree. I did a quick search and found a for dummies site that defines the differences in hardness of wood.
http://www.dummies.com/WileyCDA/Dumm...e/id-2323.html
That being said, I would always want to choose a long lasting hard wood, not something that will get gouged easily.
I would assume that if they make poplar flooring (which they do) then they would have to have really high grade poplar, and it would most likely come in thinner strips instead of 3, 4, or 6 inch wide boards.
I have lived my entire life in central Illinois. We reclaimed wood of all types and status, keeping the good parts. If the crib was still useable, then we could reclaim 2x4 to 2x12 solid pieces of wood anywhere from 4 to 20 or more feet in length. Let me tell you 20' 2"x12" is mighty fine for any beams you want to make, but are hard to keep straight. Of course we knew how to store wood, so we put it to use in repairing other old barns and occasionally put it to use in remodels and add ons of new houses.
Shiplap flooring and siding, and tongue and groove flooring, wainscoating (sp?) and other types of wood were often salvageable out of these structures if they were sound.
Other dilapidated structures generally had good 2x4 up to 2x10 boards in lengths 4' to 10' in length but little else.
Farmers have to keep busy during the winter months, and while it might teach you how to endure the cold, it wasn't very enjoyable work as a 10 year old kid.