No, T1 Eden and T1 are not the same thing, T1 Eden is a significant mechanical modification to the blanket rules of T1 textual combat. T1 covers the concept of taking it in turns delivering open ended actions that your opponent may then counter in their following turn. Eden specifically applies to the concept of balancing out magical abilities with preps, as opposed to cooldowns, mana pools, limited uses, and other varied and often times flawed balancing mechanics for abilities.