Why does that follow? All that you can take from this is that the rope can be detached.
Okay, I'll elaborate.
The Wiz can take the rope with him, since it isn't intrinsically part of the Rope Trick's extra dimensional space. It's within his capacity, so it goes with him.
If you wish to argue that it doesn't go with him, I'm fine with that too.
Again, your first premise doesn't seem very well anchored.
There is absolutely nothing in the Teleport spell that say you can take "space" with you, just people and weight.
Again, it doesn't follow without a defended P1.
P1 has been defended, and you said it was "good", even as you challenged it. But to continue...
The whole argument seems to be based on the idea that you can take the rope with you (it's within your capacity), and it can take several thousand pounds of stuff with it because it has a carry capacity. Now, maybe if the rope was alive, and could actually lift that much (as opposed to it simply have a point where it is torn apart), that might fly. But it isn't a creature, and it can't lift anything.
Moreover, it seems as if you're trying to take people and objects that aren't linked by any physical connection, just because they happen to be in a particular area of space. I don't know anyone who'd let that one fly.
The load for the caster of teleport is just the rope. The ROPE can only bear 16000 pounds. I.e., something weighing more than that can't climb it. That doesn't mean that once inside the space that the rope is bearing any weight, and the caster only the weight of the rope.
So I'll grab a rope, and any number of people can grab it and be carried along, because I'm just teleporting the rope?
I don't even need to cast Dispel BS on that one, it dispels itself.
The spell description says exactly how many creatures he or she can take along, and exactly how to determine the total cargo capacity. Noplace on that list does it say how much space you can take, or what type.
Attempts to bypass that by saying, "Well, we can take more so long as we actually aren't trying to lift and carry"..., or by saying, "I'll take the rope (or the carpet) and it will take everything else" are nonsense.
Unless, of course, you can show me how much independent teleport capacity a rope has???
My idea of having the extra people/weight fall on their collective duffs was just for comic relief, since the entire scheme is laughable.