I'm trying to envision how this vase scenario is happening. All I can say is that it might go something like
DM: "The room is bare, apart from a 3 foot high pedestal in the center of the room. On top of the pedestal is an ornate crystal vase. Leering faces are carved into the walls, and the floor is covered in a geometric pattern of stone tiles."
Player: "I go over to have a closer look"
Most likely option - It's a trap!:
DM: "As you walk over you are disintegrated as all the leering faces simultaneously blast you with rays of disintegration. You had a backup character, right?"
[This is a bit tongue-in-cheek and there would likely be a roll or two. I wouldn't expect any player to ignore something so obviously a trap, but they do the darnedest things.]
The other option is that the room was just done by an interior decorator with a strange sense of style. I'll skip over the resolution of how they determine the room itself is not a trap. Determining the room is safe could include detect magic, 10 foot poles, investigation or perception checks.
I appreciate the elaboration on the example at hand!
Then there are many ways the scene would continue in my game
DM: "You go over to look at the vase, give me an investigation check."
Player: [rolls dice] "I got a 20."
DM: "It looks like a regular vase. What do you do next?"
or
DM: "You look at the vase and the pedestal closely, trying to see it from all angles, are you looking inside the vase as part of the investigating?"
So, in both of these cases, the DM is describing the PC’s action. This is something I specifically avoid doing. In my games, it would be
Player: “I go over to look at the vase”
DM: It looks like a regular vase.”
or
Player: “I look at the vase and the pedestal closely, trying to see it from all angles.”
DM: “Make an Investigation check.”
When nothing happens or is revealed but the DM has decided that physical interaction with the vase triggers a trap ...
Player: "I pick the vase up to look at it more close."
or
Player: "I pick the vase and smash it to the floor."
or
Player: "I smash the vase."
in either case
DM: "Give me a dexterity saving throw as you hear a rumble and the floor starts to give way..."
There is no way that I'm going to change anything if the physical interaction of smashing the vase is done by hand, with a weapon, with an overhand strike or a haymaker. It just doesn't matter.
Sure, in the case where any physical interaction with the vase sets off the trap, if doesn’t matter if it’s done with a tool or by hand. However, had the vase been coated with contact poison, or cursed, or a mimic or something, it might have mattered.
If the player wants to back up to the door and tip the vase over with a mage hand or shoot it with an arrow they'll have to state that because, yes, I'm going to make a logical assumption of what they're doing.
In my case, they would have to state that because, no, I’m not going to assume they’re touching it just because they didn’t say they didn’t. Say what you
do do, and I’ll resolve that action.
Just like if the PC polymorphed into a chicken is crossing the road, I assume the chicken is just walking across the road and not misty stepping unless they declare misty stepping.
I’d prefer the player say what their character is doing, so I don’t have to assume either way.