I honestly don't know how to get you to understand that positioning matters (among other things), and that players don't just throw dice without being asked to.
For me "I search the door for traps..." And "I investigate the door..." Are synonymous in a game of 5e. Both convey they exact same request.
Now, I would ask that the player not roll for the check unless asked. Certainly not right after declaring their action. Mainly because, If all the players did that without being prompted, it could easily dissolve into a confusing, hard to follow mess.
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