This is naughty word. This is just ridiculous and honestly an INSULTING argument. A champion might have more features but NONE of them are in anyway, shape, or form more complex than a friggin' WIZARD!
Sorry you are insulted but you are wrong.
Nothing about a wizard makes it terribly complex to play. Characters of any type with a bunch of single cast spells using different casting abilities along with features and other abilities that use a mix of short rest and long rest mechanics are more difficult and complex to play.
That is just true even if it insults you.
Now you can build a wizard like that, and such a wizard will be more complex than a comparitavely built fighter.
Oh sorry, 72 seconds. IF you get the mythical 2 short rest per day. That is SO much better 20 seconds oh yeah. a WHOLE Minute in a day! Wow...
Sorry if you don't like math. It is over a minute a day and you should only be fighting 2 minutes a day.
If you play the game as it was designed to be played you will have 6 fights averaging 3.5 rounds each (21 seconds) and have 12 battlemaster maneuvers to do at 3rd level (72 seconds).
Now if you are not playing the game as it was designed to be played ..... well then you would have a point.
72 seconds out of about 126 seconds of combat in the entire day.
I've taken piss longer than that for pete's sake! You're only a Battlemaster for less than 2 minutes a day and somehow you don't think that' a problem?! You think I should just be satisfied with that?
The average piss takes the same amount of time as the average D&D battle (21 seconds - no kidding look it up). A fighter would get three and a half turns in the time it takes the average person to piss.
People urinate 8 times a day vs 6 fights a day in D&D. So using simple math you should actually spend more time peeing (168 seconds) then you spend fighting (126 seconds). Again just simple math whether you like it or not.
My point - if you are doing battlemaster maneuvers as much as you are peeing then you are doing it A LOT.
Note: I did not include the time for flushing wiping or pulling up your trousers in the amount of time it takes to pee. If you are counting those things you will spend even more time doing your business.
What the hell are you even on?! Honestly it sounds like you're arguing just for the sake of argueing at this point, but I'll give you the benefit of the doubt. A fighting style is static because (putting aisde the ones that give you spells or maneuvers) THEY DON'T INVOLVE ANY CHOICE PER ROUND. Your Archery style is ALWAYS going to give you +2 to your attack. That's it. That's what it means to be STATIC. There is no round per round tactical option to consider. You don't even need to give up your Archery Style to benefit from the Defense style +2 to AC (if you reached the ridiculously high level the Champion gets a second fighting style at). When conditions are met you get the bonus, that's it.
Please ensure something is actually true before you state it as fact. You might not like what I say, but at least I don't just say things that are objectively untrue.
To start with the different options you can take with superior technique account over half the fighting style variations available. That point aside, protection, interception and Great Weapon fighting are not static and unarmed fighting involves choices which change the damage between three values depending on what you are doing and how you are using it.
Out of 33 different options/variations a fighter can take with fighting style RAW, there are exactly FIVE that are static and I am being generous there because dueling actually changes depending on what you are holding in your hands.
FIVE out of 33 are static. And I am not counting the ones that give you spells in that 33 because those are not available to the fighter class without a feat.
Oh and defense style is +1 to AC if you are wearing armor. It is not +2.