Personally I have a few issues with the Legion Artifact.

1. Its the only weapon you will get so its not really even a true weapon. You actually equip items to your relic to increase its ilvl, etc. No alternative weapons are available in Legion so you better like what you get.

2. You can only get one Artifact per characters before you hit 110. That means if you want to play a healer in dungeons and endgame you are going to have to quest as a healing spec cause no dps weapon will be available for an off spec before hiting 110.

3. The devs have very clearly stated the entire Artifact system exists only for Legion and will be abandoned in the next expansion, returning to the original weapon system. There will be no follow up. As unsatisfying as the FF14 relic quests are to a lot of people, at least the continuation credited you for what you had done with relics in the past.

To be honest it is 1 and 2 which I don't like. A number of the artefact weapon types really don't appeal to me. Further I hate questing in a healing spec.

Of course for me the biggest issue with legion is I cant stand Blizzards storytelling. They just cant keep consistent. My issues with the Artifacts are just a side issue.

In truth the Artifact system isn't really much like the anima/relic system in FF14. Its a very different setup.