Besides, your metaphor doesn't work since cops aren't allowed to just enter a premise due to it being unlocked or open. That doesn't fall under any of the reasons to enter a premise without warrant. Leaving a door unlocked or open is not a crime that gives them free pass.
I really have a hard time understanding people's logic on here sometimes. Apparently the entire US government is systemically racist and evil but these same people want to give more power to this government? Which is it?
And what America are we talking about, "your rights according to the ACLU" America, media portrayals of America, or in-real-life common sense America where you can have a ten minute conversation with a policeman about everyday things with no worries because it's actually no big deal?
“Cheaper to buy a new box” Reinstalling and reconfiguring is always cheaper than buying new and reconfiguring.
This reasoning is very poor, why did you feel the need to make this comment?
Someone recently posted a story about an exploit wherein the compiler itself was compromised to compromise a particular set of programs when compiling those programs. Including the compiler itself.
So closing this particular door does not mean that they didn't use their access to establish other doors. Or self-opening doors. Or any number of things. And you have no clue as to how far down it goes. This exploit could have compromised the boot loader or something. The only way to be completely sure is to essentially strip the machine to bare metal and audit every piece of software on it.
The safest thing to do, if you want to be completely sure, is to buy a new machine. And even then, you're trusting that the machine you bought hasn't been compromised by the manufacturer or something like that. But it's a known-ish quantity.
But that's a "nuke it from orbit" kind of option. Often, being completely sure isn't necessary. We can live with reasonably sure.
If the FBi is in your computer you have already lost. Your box is as good as dead and you might aswell do a full factory reset or it that's too bothersome, buy a new box. Sometimes buying a whole new box is cheaper than cleaning up malware using specialist tools.