Earlier quoted context omitted.
I'm not sure where you are getting this definition of the purpose for warrants, but it's not based on any historical fact that I'm aware of. The way I'm aware of history, a warrant simply allows for an individual or group to take an action on behalf of the state, specifically by statement from a judge, which would have otherwise been illegal. For some individuals and groups, specifically sworn Law Enforcement officer…
The definition they use follows from the definition you use, but is dependent on the times. If you are given authority to act on a warrant by the state, then you show that to the person you're investigating so they don't shoot you for being on their property. Without the warrant, they have every right to shoot a strange person walking through their property without permission. Since this was before the concept of Law…
What kind of hellish "right" is that?
You should not have the right to shoot someone for merely walking on your property. That is preposterous!