Regarding using a tablesaw to T&G, and shiplap, I've done both. It just isn't worth it. Shoving 16' 2X vertically over a single blade is bad enough, over a dado blade is just no fun at all. The whole business is fraught with inaccuracy and all around a massive hassle.
You need a dead flat infeed and outfeed table, plus decently straight stock, that is minimally crowned or twisted or bowed or cupped or warped, or loaded with edge splits. Most 2x6 that isn't dripping wet from pressure treating has all those defects. They are cut from fast growing runt 'stud forest' trees that are harvested before they thirty years. The stuff is all plain sawn. Check the end grain. Curved to beat the band. The center of the tree is apparent in the end grain of many 2x6, and in dang near ALL 2x8 and bigger.
Common framing lumber today on the whole is filled with every lumber defect immaginable. Cup twist bow crown warp wane check, nasty encased knots, you name it. That's just the way it is now.
No, the way to go if you want T&G is to buy it. Then get after the rest of the build, just like pros do. Or, like I said, rout it if you are stubborn.
Been there done that guys. Really. No BS. Trust me on this. i'm cheap and do everything with savings in mind. But not even I would consider doing a yurts worth of T&G. Just no way.