Obviously, folks want a "gish" feeling when playing Eldritch Knight. They want that sense of a fighter/magic-user.
The problem, of course, is that a Swords Bard is better at giving that flavor. Except you have to "suffer" through the music accompaniment. I say suffer because not every player envisions music as part of their fighter/magic-user fantasy.
You also get a better experience playing a Blade Warlock/Sorcerer... except, again, you're forced to deal with flavor elements that might not fit what you're going for.
In my opinion, it's more than reasonable to want to play a Fighter/Magic-user type class that's just as good as the Swords Bard or the Blade Warlock, but with the flavor slant desired. One thing that annoys me about DnD is the flavor gatekeeping.
