Such an Oath as Feanor spoke did in fact mean that he and his sons Fell. Any who made themselves part of that Oath may likewise be considered to have Fallen. So yes. On the other hand, you have Finrod Felagund and Fingolfin who did not make themselves part of the Oath, but took upon themselves the ban of the Oath out of loyalty to their kin. Very sacrificial and noble, but just as deterministic (since that's what oaths do) to their eventual demise.
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