Bull. Utter crapola.
I know I'm not going to change your mind on the matter. Once somebody's beliefs are locked in it's completely impossible to change their minds, regardless of the evidence. I've beaten plenty of Wizards in my time with a lowly fighter and they all used spells like that against me. I've also been beaten by many Wizards too, but mostly because I just misjudged them or I had a run of bad luck with the dice rolls.
The claim "spell automatically counters X" means one is talking in generalities. They're also forgetting or willfully ignoring the spell disruption rules. It's a powerful disadvantage any caster has. It's a poor way to argue.
A couple of observations.
(1) This is a thread about the survivability of a wizard, not how effective a wizard is when dueling a fighter. At 7th+ level, my experience- and the experience of quite a few other people, I might add- is that a wizard's ability to survive attack is at least comparable to a fighter's, despite a substantial difference in hit points.
(2) There have been dozens, if not hundreds, of wizard vs. fighter duel threads, including a ton of challenge threads. You can google them both here and on the WotC forums. The short version of practically every thread is that things almost never turn out well for the fighter.
* The wizard has many, many spells which ignore spell turning and spell resistance. Look at Evard's Black Tentacles, for one. The grapple check for the spell is.... impressive.
* Spell Turning is very, very expensive. A fighter of 10th level isn't going to have a Ring of Spell Turning.
* The Wizard can play the same game as the fighter- ready a spell.
* Or the wizard can simply cast an interrupting spell, like Greater Mirror Image.
* The fighter simply doesn't have the saving throws to match up with the wizard. One blown save essentially kills the fighter.
You can respond to these points. But please google those threads. Many very intelligent players have gamed out this same scenario tons of times. The TL

R version is the fighter only has a chance if he starts within one move of the wizard AND the fighter wins initiative AND the fighter is armed with a Spiked Chain. If one of these three is not true, the fighter stands no chance. If all of these are true, the fighter stands a small chance.
And of course, this assumes that both players are highly skilled and knowledgeable. If the wizard is piloted by someone who doesn't possess a reasonable level of system mastery, all bets are off.
* the fighter can either ready an action to disrupt or ready an action to move when the wizard moves, he can't do both.