I had a very quick look at a couple of web sites. The spec for the Takamine has been changed a bit so I'm not sure which wood you would get. They say on that site "Black Walnut" back and sides. They don't say "solid", and at this price I would expect it to be a laminate. If it doesn't say "solid" then its not. Same for the Yamaha. Nato is a proper wood, just a bit cheaper, still laminated.
I think we have all done this, try to guess how good a guitar is by looking at the spec. Its just a guess.
"When I was younger, I could remember almost everything, whether it happened or not." Mark Twain