The problem is not that the term is imprecise. To say "We can securely check your password." would be imprecise.
The problem is that the term is _inaccurate_ because it is _overly precise_.
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When you find yourself arguing over details you find pedantic, then it is a sign that you either:
A. Are failing to realize why some detail actually _does_ matter in that context.
B. Are using overly-precise terms and should see if you can "go up one abstraction layer", likely by asking "why does someone care?"