Is it correct that players can repeat set maps and civs with their choice of homemap and civ, or am I missing something?
Correct.
Edit: Also, for the RO16 it says that players can repeat their homemap and civ. In the later rounds, where it is homemap/civ of looser of G1 and looser of G2 (so potentially two times the same player) this remark is missing. Is that intentional?
Not sure what you mean here, but as it's the only round that has 2 home map picks per player, each player must choose different map + civ for their 2 homes.