I'm not sure... those analogies might be taking it a bridge too far. Rock music seems to go through a periodic cycle... punk of the '70s reacted to the post-Sgt Peppers art-rock, then the so-called New Wave bands reacted to Disco, then grunge reacted to, well... the Hollywood music video style over-production of the 1980s?
And I like Tarantino's stuff, but if he can be credited with a "cinema movement" at all, it would probably better be described as one filled with homages to other movie genres, jokey nerd-culture in-references (as in Denzel Washington's Silver Surfer rant in Tarantino's Crimson Tide -script re-write), and rapid-fire, overlapping dialogue. Ultra-violent (though that's in the eye of the beholder) movies have been around since at least the 1970s. I'm thinking of something like DePalma's Scarface from the early 1980s as probably more of a bell-weather for movie violence than anything Tarantino has done.
Yes, ultra violent movies had been around for a while, but had regressed to a slick comfortable style that was 'family friendly' in movies by Sly and Arnold.
Until Robocop was released in 1987. It might not seem like it now, but that movie, for the time, was disturbingly violent. It was also successful and even nominated for a couple of Oscars, I believe. Definitely a bell-weather for movie violence.