The majority of players just skip attacking the minions because there's enough of them, and it takes enough time that it's faster not to.
Other bosses like Scurrius have 0-tick delay when attacking the minions correctly, so it's not like it's a unique or special thing.
It would make duo-ing the bosses a good bit better, solo-ing the bosses significantly better, and would make the Twinflame staff much more relevant at the Titans themselves.
Edit- it sounds like it's a 0 or 1-tick delay after the attack lands, compared to Scurrius for instance, where it's on attack. Changing the delay to starting off attack rather than hit would be sufficient.
Additionally, some tips outside the cave suggesting chest/leg/weapon/back switch would be great to help those that don't go to Discord or other communities. An example setup on the announcement/blog for entry content would be really beneficial- showing an elemental battlestaff/base god cape/mystic top + bottom for mage switch, black D'hide/accumulator/crossbow for range, and wearing melee.