Odd Attack Wave vs. Even Attack Wave

Even is better for player phase (first turns are normally just moving) odd is better for enemy phase. That's how I use them/see thme

Probably because Odd Attack Wave came first so since it's been around longer people just go with it.

Main difference would be the turn # activation and the unit who gives the ability. Most people will tell you to go for either/or depending on when you think your unit will reach combat; that way they'll have the buff readily available.

It's very likely that you'll be attacking on the second turn, not the first turn, since in most maps, you can't even reach the enemy on the first turn. So, Odd X Wave is good on defensive units, in which it's likely that your defensive units will be attacked on the first turn Enemy Phase if you're baiting the AI. Even X Wave are for offensive units, since second Player Phase is usually where the action happens

Because Even attack wave just came out so less people have it and it's on a limited time unit from a month ago. Odd attack wave came out WAY before even and is on a common 5 star because of how frequent Ishtar is seen as a focus.