No. Those ports aim for vanilla accuracy and do not support PK3 archives. You need a ZDoom-based port (GZDoom, LZDoom, Zandronum 3.x).
The doom-complete.pk3 file is the standard output of , a popular tool developed by Jean-Paul LeBreton. It is not a mod in the traditional sense of adding new gameplay mechanics, but a structural "super-file" that reorganizes official assets into a single directory. doom-complete.pk3