You have absolutely no idea what you're talking about.
First off, even the name "QTE", is attributed to Yu Suzuki's "Shenmue" , where they were called "Quick Timer Events", a good
5 years before Half Life 2. So, no. You couldn't be more wrong.
Second, what parts of HL2 have "QTE"s? Name them. If they are there, they are beyond miniscule, but I think you have a fundamental misunderstanding of what a QTE segment is.
Finally, the style of QTE gameplay has been around since FMV games in the Sega CD and 3DO. One of the reasons they were so universally reviled; there was almost no gameplay input required, just "tap these 3 corresponding buttons to get the good outcome" , or screw up and get the bad one. Play Sewer Shark for an example.
There can be good QTEs, or at least ones handled well. The Last Of Us is a good example of inclusion without overdoing.
But it's a rare exception and its overused as a lazy developer tactic to cinematically animate a cutscene while giving the player an illusion of control.