No, It does not. It of course depends on how many effects etc you apply to the clip, but doe snot need more power than others.DaVinci Resolve[...]needs some pretty hefty computer power .
You can edit 4K videos on old computer without any issues. Consult manual / youtube for details.
Honestly, I am yet to see non-professional video enthusiasts with requirements beyond what Free version of DaVinci resolve offers. Especially among divers that need color correction / grading / matching which DaVinci offers in state of the art level.