It just feels off because it sounds like they're basically making a new character for the anime. For example, the main character's name is Utsugi Renka in the anime, while the game supposedly has it as Kannagi Yuu. Most likely players won't ever see this name anywhere, though, unless you play God Eater 2 without importing any GE/GE Burst save data. That way, the main character of GE/B (whose name is only mentioned in the database) will be Kannagi Yuu. If you import a GE/B save, however, the name will be whoever you named your GE/B character.
I play as a female in just about any game that lets me create my own character, because I hate guys. :P Just kidding, but I guess I'm accustomed to seeing the main character and Alisa having a BFF kind of relationship instead of a romantic one, especially when the main character consoles Alisa. I don't know about the particular version of said character in the anime, but I don't think the game version was that alpha. If you try out GE2, you may think the main character is even more alpha, like staying on their toes after taking blows from an Aragami that destroy others' God Arc or send them flying...
And yeah, both images have the same animation frames, so the timing is exactly the same.