Forget about attack. Time Elementals are primarily strong casters; attack won't make them better fighters.

I still don't understand how attack can't make someone a better fighter. Secondly, Time Elementals have two units that can reach the enemy in the first turn (Furies and Lizards). Thirdly, as Time Elementals level up, they mainly gain stats in spellcasting and attack. Finally, there's the matter of tactics. Most Time Elemental units are geared towards attack, which is easy to see from their stats. You can't win against a decent opponent with magic alone; you need to combine creature attacks with magic, and to make them effective, you definitely need to take attack.

Added 10 minutes later
By the way, for fans of logistics in the Time Elementals faction, in the TE mod, logistics is initially available to Iranna (the one who buffs Furies). In this case, of course, you can use it, but it's more like, it's already there, so you might as well. But in reality, as with mages, logistics isn't the main thing for Time Elementals.