Soul's Like version : 0.9.9.6 patch 2
Wizards version : 0.9.23
MC Ver : 1.20.1

using this mod in conjunction with Wizards (https://modrinth.com/mod/wizards) somehow disables any weapon from this mod to use its ability like the moonlight beams or the Whirligig Saw

no relevant log is outputted

You have to blacklist weapons from this mod in Wizards (RPG Series)'s config, namely Spell Enginge's. I'll see what I can do about implementing a permanent fix.
To do it, go to the config folder, then into "spell_engine" and open the "server" file in notepad or vscode or any editing software. Look after "blacklist_spell_casting_regex" and type in "soulsweapons" in the empty " " space. That should do the trick.