I'm not convinced these are reliable methods, even if someone at Santi says it works. Maybe unlined latex gloves, such as the Santi brand, are the best option? However, Santi charges a premium for them. I have been looking for a less expensive alternative (and have read this entire thread).
The first video ("Santi method") is exactly how you are usually supposed to mount any gloves on Santi Glove rings. Smooth latex gloves without textile lining naturally will seal better. But as the video states , in that design the actual seal is in the groove where you roll and tuck that remaining cuff into. So as long as the material is flexible enough to do this, it should work. Even when it seems sort of unreliable, in real life it works.
The second video is a method where the glove is loaded inside out onto the glove ring so that the o ring will press a seal between glove surface and the glove ring. Probably works as well. But now there isn't the rolled seal part. With smooth gloves and Santi method you end up having both.
I have used the Santi method for mounting my Santi glove rings with Santi latex gloves, Tegera nitrile gloves and latex gloves which are probably Ansell G17K. All seal wonderfully and are bone dry. I haven't tried anything with thicker textile lining, but I just ordered some Showa 720's so we will learn.
That said, I am now diving with gloves directly attached to Smartrings without wrist seals and find this more comfortable and less obtrusive that the Santi glove rings.
But yeah, for general diving where you mostly touch boltsnaps, these thin gloves like Ansell G17K are great and inexpensive.