Yes, the video just shows how to purl tbl. The T2Lp won't necessarily have the second stitch purled through the back loop unless this particular pattern says to do it that way.
One way of doing the T2Lp is to use a cable needle which will give the same effect as the twisted cable. For the twisted cable you would ignore stitch one, work the purl tbl into the second stitch as in the video, but don't try to drop the stitch off the left needle. Go to the first stitch on the left needle, knit it and then drop both sts off the left needle.
This video shows the left twist with two knit sts (not the purl tbl) but it gives you the idea of the twisted stitch cable.
How to Knit the Left Twist Stitch