Depends on who you ask. In the Army, perhaps. In the Navy, at least the Navy I served in? No. I don’t say that flippantly: I know the Army had a different procedure when I was in Iraq, and I know the Navy had a different procedure (more like the Army one) back in the day, and that procedure did in fact include pointing the weapon in a “safe” direction (whatever that is–and, yes, I am aware that clearing barrels are a thing) and pulling the trigger to “prove” no rounds.
The thing is, if you did the safety check properly up to that point, a trigger pull is unnecessary. If you didn’t do the safety check properly, congratulations, you just had a negligent discharge, and you also probably shouldn’t be trusted with a firearm.
Now, for those who may be wondering, “But isn’t it best, if someone who shouldn’t have a firearm, but actually does have a firearm and has a live round in the chamber, that they have their negligent discharge in a safe direction?”
Well, again, what really is a safe direction when discharging a firearm? If there’s a clearing barrel, great, but what if there isn’t? Where do you point and shoot to where there is zero possibility of someone being out of sight within the range of the weapon? Maybe there is someone downrange obscured by grass or cover. Or maybe the kind of idiot that can’t safely clear a weapon is the kind of idiot who doesn’t make sure they are really pointing in a safe direction. Maybe they meant to be pointing down at the ground but are actually pointing at their own or someone else’s foot. Because, again, if an idiot can’t clear a weapon properly…
Also, based on personal experience, I would say that it is a bad idea to have “pull trigger” be part of the routine/mechanical process of clearing a weapon. Because when people are tired–such as they may be after a long day in the desert–they can get confused. They might not so much be an “idiot” as they might just be someone who is at the end of a very long day and exhausted. I personally have been in the situation where I took a step out of order (racked back the slide on the M9), realized I had taken the step out of order, but was so used to the mechanics of clearing the weapon routinely that before my higher brain function could communicate to the rest of me that there was a need to stop and remove the magazine, I had already let the slide go forward (chambering a round) and only then removed the magazine. Had the next step in the process been “push forward safety and fire” it’s just possible that I might have discharged that firearm even knowing that I was doing something wrong as I was doing it.
Even genuinely conscientious people educated in the use of firearms can make a mistake working long hours on little sleep. They might even realize they’re making a mistake as they’re making it, and yet not be able to pump the brakes fast enough to stop from doing something really stupid like discharge a firearm when they didn’t mean to. The kind of person who thinks “I can’t make a mistake, I’m too smart” is just the kind of idiot who shouldn’t be trusted with a firearm ever.
The process to verify a weapon safe is simple and mechanical, done almost without thought as a matter of routine. I don’t ever want pulling the trigger on a weapon to be something that is done without thought, as a matter of routine. So, that’s one vote for “don’t pull the trigger to prove the gun is safe.”