OK, let's draw this experiment out to something more practical: the original TV series promos. No BMM Links because I'm having to do this on my phone.
Here's the official promotional trailer for the very 1st episode of TOS. My...are those phasers I see?
What about TNG? Yep, I see ships firing at each other and phasers actually bring fired as well as carried.
DS9's turn. Well, no phasers, but we have tons of ships shooting at each other and blowing up, hand to hand combat, and explosions.
Voyager's turn. Surprisingly tame considering the most bloodthirsty captain in Starfleet is on board. But yes, we still have phasers & ships firing at each other.
Finally, Enterprise. Yep, we've got phasers, and they're being fired.
It's almost like phasers & ship combat are a common staple of Star Trek promotional work, regardless of how bloodthirsty & explosion-happy the series itself is.