Although 'which' absolutes are in conflict depends on the context, the determination of which 'absolute' is greater is based on objective criteria rather than on the context, which distinguishes graded absolutism from situational ethics.
[1] Also called contextual absolutism or the greater good view, it is an alternative to the third alternative view and the lesser evil view, both discussed below, regarding moral conflict resolution.
The lesser of two evils principle is the view that the only way out of a moral conflict is to violate one of the moral absolutes and choose the lesser evil.
According to the proponent of graded absolutism, this violates the ought implies can principle because it is still possible to behave morally in this situation.
For example, when one saves a life rather than telling the truth to a would-be murderer, one is committing the greater good of saving life, rather than violating the lesser good of telling the truth or committing the lesser (than aiding a murderer) evil of lying.