Hello and welcome to the forum, juvebogdan!
I believe that all of the Einherjar's Fate swords I found during my different playthroughs did in fact have all of the bonuses listed in the database. Are you sure that you found the actual Monster Infrequent? Sometimes, enemies have both a MI and a green item named after them in the same slot, which is quite confusing (for example, the Ichthians have two different kinds of chest armor, the Ichthian Armor and the Ichthian Aegis, with only the latter being an MI and therefore granting additional bonuses).
Is Gledsheim the area before Valhalla? Because that would probably be the best place to farm the Einherjar-gear (I am very bad with remembering place names
)
One thing I do seem to remember not working properly with Einherjar's Fate is the granted skill which, at least back when I tested it, did not allow me to dual wield melee weapons. It would be interesting to know whether it does proc once you equipped two weapons via a skill from your masteries, though, since it has a decent damage bonus...