No, they shouldn't.
Here's why: Untrustworthy people run the gamut of bad behaviors.
A traitor is untrustworthy; (is also perhaps the MOST untrustworthy, and intends harm.)
A person who tells those little white lies is untrustworthy; (but while technically a liar, intends no harm.)
A traitor should hang for the crime of treason.
With your logic, so should the little white liar.