Wouldn't that make it a modern art?
No. Because it's not an art unto itself. It's an aspect of TCMA, just like the term "Modern Wushu" is used to notate the form performance only & athletic expression of TCMA.
And for all intents and purposes its modern kickboxing with a Chinese twist. When people say Kung Fu in MMA they're looking for the old school stuff, like Drunken or Tiger Style.
You're not going to find a Shaw Brothers resemblance in any serious TCMA school. You should find two people squaring off & the clashing with one person ending up on the ground after a quick exchange. No poses, no animal noises, no swearing vengeance for the dishonor brought to their teacher or temple... just a quick exchange & then somebody is down. Reset & repeat. The great showy "kung fu" moves are distilled down to essence & applied. Mechanics, intention, set up for take downs, methodologies, etc... that's what make it "kung fu", not the trappings.