The cavalry charging a disciplined steady fresh infantry (without being demoralized by missile troops or something) directly and winning is a rare thing in the history of the humankind.
I really dislike this argument. It's got No True Scotsman written all over it.
Here is how it usually goes:
1. Cavalry hits engaged infantry and collapses it (Cannae, Listven, Ravenna, La Brosinniere)? Well, apparently the infantry holding it in place did all the work. Wouldn't it be easier to you know, just use more infantry then? Why pay ten times more for a horseman if you can get ten footmen who are just as good for a fraction of the price?
If cavalry is better at this task than infantry, the answer is obvious. Infantry being better than cavalry? No explanation at all. But infantry proponents have no problems assuming everyone back in the day wasn't very clever.
2. Cavalry hits light infantry and runs them over (Dyrrachium, Seminara); obviously frontal charges work!
But no, says the infantry proponent, these troops were poor quality and broke mentally and anyone could have overrun them. If only they had been quality troops!
3. Okay, how about when cavalry goes up and smashes the best infantry of the period (Patay, Brienne (1814), Crevola) - oh, well, they weren't prepared! Digging in and such is very very important etc., wouldn't be fair to evaluate the worth of infantry on the march (which they are most of the time) as opposed to the very narrow set of circumstances when they are perfectly prepared!
4. Okay, how about when they are prepared and of good quality (Garcia Fernandez) - well, apparently, someone got lucky with a dead horse.
There's never any counterexamples to satisfy the infantry types, and always some excuse. Not good enough, not fresh enough, not drilled enough, too tired, too wet, too hungry, too demoralised, too unlucky.
Whereas cavalry strengths and flexibility are apparently nothing much at all; including the ability to carry secondary weapons for ranged combat, and of course the dismounting examples.
Yes, the French fared poorly in mud on occasion leading to some notable losses, but generally speaking men at arms always had the option of dismounting and fighting on foot and beating their infantry opponents (Arbedo, Mons-en-Pevele). But that's just apparently more proof they'd have been better off fighting on foot in the first place. Except when they dismounted and then lost, in which case it's not proof of anything at all (Sempach, Agincourt) except apparently how cavalry isn't very good.