Well, I am not sure I should chime in here. I could be wrong, so this is more of a guess.
1) As Roger says, this looks like a loose weave. I do not see this as a problem though. It also makes the fabric quite light.
2) The stress you show seems to be localizied in a single area. I have had a couple tarps look exactly like after being subjected to severe loading. But, it was only at the pole area where uneven stresses caused this “point” failure.
3) I don’t think the actual stretching has a lot to do with the seaming. I believe you have an incorrectly sewn joint and/or the actual threads used in the fabric were slipping apart. You would have to continue the stress-test until the two fabrics actually parted company to tell the difference. You might very well find a combination of slipping loose out of the joint on some threads, actual breakage on some threads, and threads that pulled apart within the yarns making up the weave. As Roger says, this is typical of a loose woven fabric. (I am ignoring seam sealing(SS) here. SS complicates the issue by gluing threads together and you have to consider bonding, elasticity of any glues, tear strength, etc.)
A) IFF it was an incorrectly sewn joint, you can examine the causes of failure.
A proper flat seam (too many names for a “french” seam) to join two fabrics is the same as interlocking your hands. Both seams will contribute to the strength of the joint. 
Normally, the first thread will allow a small amount of slippage allowing the second thread to also engage, adding it’s strength. The end of the fabric is wrapped inside where it is held again by both threads allowing slight slipage between all the threads. I have found that the joint is actually stronger than the fabric and never fails there. However, I have seen some instructions on the web that simply fold one end in to a loop. They often miss stitching the end in (usually burried in the seam.) The stitching needs to be rather firm with a fair amount of tension on the thread. More than is required for a simple hem. And, the stitching us usually a bit finer, especially with dissimilar fabric thicknesses. If the joint is at all loose, the thinner fabric can unravel, pulling the threads out of the joint as you show in your pictures. It might just be a matter of more tension while sewing the seam…(Been there, done that. I had designed a jacket with heavy back/shoulder fabric -2.9oz nylon- and light sleeves and front -1.1oz nylon- and it failed similar to your seam failure at the sleeves…the thinner fabric pulled out of the joint.)
There are a couple fixes. Pay very close attention to your seams while sewing (a sort-of painstaking way to sew,) OR, roll the seam again before sewing. Locking the end of the fabric in the seam is the key it preventing unraveling. But, double rolling does introduce more stress in the joint and more seam allowances. This is of lesser importance, usually. Try rolling one of the undamaged portions of the seam samples and extra time and stitch it down tight. This will also tell you whether it was the seam or the fabric, so it is worth doing, anyway.

Or…
B) If the yarn in the thin fabric are simply pulling apart (very difficult to tell from your pictures) then the fabric is just too light for your intended use. Back to Roger’s statement. Even the 7D fabrics are light but usually tear, not unravel in the weave.
Again, I really doubt that and believe the seam had actually failed.
C) IFF the thicker fabric simply was not able to fold tight enough around the thinner making a proper joint, BOTH parts need to be involved in the joint for strength, a sharper needle night have helped a bit. The blunt needle could have simply fractured the yarns of the thinner fabric as it passed through the join causing strength problems by simple perforation damage of the lighter fabric. The pictures do support this to a degree, but the extreme unraveling is also a problem. Both, perhaps??
In any case, let us know what you find. Good Luck!