I don't see any of your examples as being coordinated constructions because in each case the two clauses are not syntactically alike, the first being ones finite, the second ones non-finite. Consequently, "rather than" is not a coordinator; instead "rather" is used in its primary sense where it is an adverb with a comparative meaning of approximately "in preference to". BillJ
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cho7712I've known that the phrase 'rather than' is used for indicating the coordinated relation.Off topic.
BillJYou asked about "rather than" in possible coordinating constructions, and the complements of "