Xerath's passive is supposed to give some incentive for him to interact more with the enemy laner.
It's not super interactive for Xerath to have the capabilities to poke someone down without meaningful interaction, especially with spells as strong as his. As such his spells need to have high mana costs to compensate for his ability to poke someone down with little risk.
His passive is designed to give him the ability to utilize his abilities more often at the expense of having to interact with the enemy laner more often, usually in auto attack range.
Give him Lissandra's passive, and either his costs would need to be dramatically increased or his mana pool would need to be dramatically decreased, and suddenly he can only cast a couple spells without the passive.