The problem isn't that there are strong women; it's that they're NOT strong woman. They are first and foremost objects of fantasy who exist to be ogled and to pleasure men, and rarely have any point outside of that. They are strong only because it attracts men. Any "strength" or "character development" they may show is constantly undercut by the overwhelming push to make them a sex object. See the greater problem of
Strong Female Characters.
To try and compensate for this obvious fucked-up adolescent droolery, creators of anime then feel the need to make their characters "serious" by adding cliched backstory and put them through a series of old, rotted tropes masquerading as plot. Then because these structures are so flimsy, this nonsense gets stretched out for ages, and the pacing of most of this sort of anime is fucking glacial. It's all "Tits!" "Hey we gotta excuse these tits lets taaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaalk" "Tits" "TAAAAAAAAAAAALK" Poorly choreographed swordfight with tits swinging everywhere. "TAAAAAAAAAAAAALK about the moral of stupid swordfight"
Then some shows are all lets have tits bouncing during the talk, isn't that cool? NO IT IS NOT BECAUSE HOW THE FUCK DO YOU TAKE BOUNCING TITS SERIOUSLY YOU ARE WASTING EVERYONE'S TIME!
Now obviously, this doesn't apply to all anime, and since I'm posting on a pornographic site it's a little hypocritical of me. I like women, I like looking at women, I like sex and kink and all that. But there's a time and place for that in reality, and there's a time and a place for it in entertainment too. Some things are about explosions and spectacle and oohhiing and ahhhing, some things want to make people feel something, others to make them think, and still others just want to make you cum. That's all fine, but anime tends the blur the line, which in turn causes problems with gender representation, where people start thinking porn objects are actually "strong women".
And in case this drunken raging lurker rant didn't make that clear:
Anime characters
are NOT
strong women.