Answer is NO.
The type of jewel necessary for an Ultimate upgrade depends on the type of Unique weapon being upgraded.
Unique Weapon Type Jewel Needed
Guardian Weapon (Lv.60) Topaz
Historic Weapon (Lv.75) Ruby
Angels Weapon (Lv.90) Sapphire
Legendary Golden Weapon (Lv.105) Emerald
Bloody Weapon (Lv.120) Diamond