No. Just no.
I'm a fan of anime, so I can safely say this: When you try to take Western IPs and turn them into anime, 99% of the time, it ends horribly. I can think of one example where this wasn't a total bomb (Halo Legends), and I can bet that half of the people here at the Escapist will still call me out on that.
Mass Effect obviously takes its inspiration from all of the space operas, sci-fi epics, and futuristic media that's been circling around, most of which are Western properties in their origin. Hell, I can even see a bit of Star Wars in it from what I can assume to be from BioWare's forray into the adventures of the Star Wars galaxy approximately 4000 years before the Battle of Yavin.
While there are many sci-fi anime as well, Mass Effect obviously takes most of its inspiration from Western ideas and whatnot, so this just doesn't work. Especially not when you've already established the character in not one, but two highly celebrated and trafficked games. People will notice this change, and it's not, imo, one that suits the universe of ME.
I hope that they don't go along with this. If BioWare is so interested in making an anime-esque character, they should start their own anime-based IP, because I don't believe that any of the ones they've started so far would benefit at all from any type of anime reimagining.