I was looking for the answer to this myself - for weapons in PVP, you need 3 kills without dying to make a diamond lance with stasis weapons. I'm not sure if this is happening bc I wasn't paying attention before to see if 3rd kill would create a lance. I will check soon and edit to update.
From the Dec. 2021 Twab https://www.bungie.net/7/en/News/Article/50880
Behemoth
Diamond Lance
Increased fragment slot allowance from one to three.
Now spawns a Diamond Lance upon:
Killing PvE combatants with Stasis Weapons.
Killing three players with Stasis weapons without dying.
Killing an enemy with a Stasis ability.
Shattering an enemy.
Ok, I can confirm that it's working correctly. You just have to stay alive long enough to get 3 kills with the stasis weapon, which I'm apparently bad enough at myself that it took me 3 games to prove if it worked or not.
Eyasluna is a pretty good gun for PVP but unfortunately a bit power crept, but keep it if you have a good roll. I've been using one with kill clip lately and getting decent results