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Wiktionary
unsentimentally

adv. In an unsentimental way.

WordNet
unsentimentally

adv. in an unsentimental manner; "unsentimentally, she threw out her dead son's toys" [ant: sentimentally]

Usage examples of "unsentimentally".

Her resentment caused her to look unsentimentally at the ramifications of her life, and what she saw evoked even deeper indignation.

But I do not agree (if you admit that fairy-story element) that my trolls show any sign of 'good', strictly and unsentimentally viewed.