See the part I don't understand is why the hat is worse than anything we'd use currently. There's literally no reason to use it.
9 Def (we have +10 red berets for def!)
7 MDef
Hibiscus, drooping cat, etc. (15 mdef)
1 Str -
1 Int - none of these stats are worth trading off our carded gear first
2 Luk -
alternatives used would be: Isilla anything (skull cap, moon bunny), +7 little feather hat for crit bonus if we needed luk. evil marching hat for any of this above. There are low level hats that give 2 int.
300 max HP - this is nice but I wouldn't give up my normal gear for it. Also, they actually don't give the hp.
3% Atk -> EMH
3% MAtk -> moon bunny, skull cap.
6% Heal Increase -> benevolent guardian. I'd rather keep my maestro or status resistance charming ribbon tho.
->Gives Greed Skill -> no, it doesn't. This change alone would actually make it worth using over all the negative points listed above.