This is the popular version of a quotation attributed to Sir Arthur Conan Doyle:
When you have eliminated the impossible, whatever remains, however improbable, must be the truth. It is stupidity rather than courage to refuse to recognize danger when it is close upon you.
This is what Sir Arthur Conan Doyle actually wrote in The Adventure of Bruce-Partington Plans (p.925 of the edition I read):
We must fall back upon the old axiom that when all other contingencies fail, whatever remains, however improbable, must be the truth.
Is precision important? Or, would one be accused of being annoyingly pedantic?
I suppose it depends on the company one keeps.
The English, Germans and the Japanese are peoples that value precision. Their legal and engineering history proves it.
The rest of the world, Malaysia included, tends to feel that "near enough is good enough".