The putfile video is a near-perfect RDL. The only thing that could make it better is more ROM through hamstring flexibility.
These are more videos from exrx and strengthlab. Both call these stiff leg dead lift.
Are these then really RDL?
Both of these look like RDLs. The name “Romanian” DL has a bit of a history to it. U.S. weightlifters first saw this exercise performed by Romanian weightlifter Nicu Vlad. No U.S. lifter had ever seen it done. So, the started to call it the “Romanian” DL. Since then, there have been a few strength coaches who, because they probably suck as strength coaches or otherwise have nothing better to do, have written these tirades about how the RDL was not invented by Romanians, that other countries used it to, and so the name “Romanian” DL is incorrect, and really it should be called a “semi-stiff legged DL” or some such similar name. That’s nice if you’re teaching linguistics, but it’s totally irrelevant for our purposes. Unfortunately, this has resulted in all of this unnecessary confusion. Some coaches call RDLs stiff-legged DLs. I’ve even heard coaches call the stiff-legged DL (where the knees do not bend at all, which BTW, when I tried this made my knees hurt for three days) and RDL. This is all nonsense. If you want a great hamstring/lower back exercise, do the exercise described in Dan John’s “Get Up!” that I linked to earlier. What you call it is up to you.