Your second point makes just as much sense the other way around. A human who is expected by years of family tradition to join the Templars is as relevant to the conflict as a mage. A mundane clashing against Corypheus is just as thematically exciting - the underdog showing that you don't need phenomenal cosmic power to defeat the ancient evil whatsit. And it's arguably cooler for a non-mage to have the mark, because it makes you even more of an oddity.
I'm not arguing your experience, just saying that it's subjective. Just because you had the best time playing a male human mage doesn't mean the game was designed primarily with that in mind.
As for the animation... it's Bioware. They can't seem to get gender neutral animations right. And, uh, women can dance too?
I disagree. Any warrior Trevelyan is not a templar during IHW or CotJ. He can only become a templar after confronting Corypheus the first time and making it to Skyhold. A mage Trevelyan is a mage from birth (or early childhood technically).
The mage can declare that Thedas will see a mage standing for all. It is the perfect response to an evil mage. A regular person fighting evil mages is just going to add to mage hatred across Thedas. And the warrior or rogue cannot declare any such thing as the mage can.
Also, the warrior and the rogue basically share the same backstory. Which makes the mage's backstory unique among them.
A non-mage having the mark sort of makes it seem senseless. Anyone can use it? Really? That seems lame to me. However, a mage has the option of becoming a Rift Mage, and Solas hypothesizes that the Inquisitor is using the mark as a catalyst. The mage gives the anchor better meaning. It also makes him similar to Solas, which is very important for Trespasser and the next installment.
Isn't the anchor "phenomenal cosmic power"? Isn't having a dragon on your side similar? I think it did take power of that theme to defeat Corypheus. It certainly wasn't "mundane" weapons that did it.
I know you aren't arguing my experience. I'm not arguing yours either. I'm just pointing out that the game is designed to best cater to a male human mage (and an older heterosexual one if we really want to get deeper into this). My experience has nothing to do with it. The facts are the facts. Just because I happened to create a custom character that matched what the game was designed for doesn't make that the case, the game was that before I made the character. I've just had tremendous luck in my character creation for the Dragon Age games (even Hawke, though I admit some slight meta-knowledge for her).
Yes, women can dance, but a woman dancing as a man would with Florienne was very odd.
It isn't that BioWare didn't get gender neutral animations right, it's that they didn't care to make separate animations for females beyond the common walk/run animations.