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Ben faut pas oublier qu'il s'agit d'une cavalerie légère (pas d'armure sur les chevaux ou les hommes) avec des armes courtes entrant dans une formation serrée avec des pavois et des lances. J'ai trouvé plusieurs passionnés qui ont l'air pessimistes par rapport à cette pratique, dont voici quelques (longues) quotes:

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Horses have a natural fear of running directly into a wall of large sharp pointy objects. Wouldn't you? They will break formation, or worse, run into the spears. It was best for defending lighter infantry and ranged artillery. Along with a natural aversion to being stabbed, horses made for easy targets in that the weapon took advantage of their rider's overconfidence and the hooked end allowed many to be de-horsed by a good pikeman in the middle of enemy soldiers. Usually pikemen were the answer for at least making a battle interesting in that that lightly armored units, which could not withstand a charge, nor outrun it from experiencing an immediate and gruesome fate. This gave a fighting chance to many troops fighting much stronger and much better funded armies.

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if the soldiers are massed and wielding spears or pikes, then no - horses are smart enough not to want any part of that. They'll charge until they get close enough, but then they'll either swerve to the side and keep going past that formation, or stop and mill about around the edge of the formation beyond the reach of the sharp things pointed at them.

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A note about charges; most charges to properly massed infantry sort of just scrapped the formation. Loose infantry (anything less organized than a Roman Century, though it depended on the equipment of both sides) could be charged down the center, and were to deal with them more easily. But cavalry weren't made entirely useless by decent massed infantry.
Exception for Cataphracts and similar, but they were so heavy that they didn't charge so much as trot. Difficult to stop, and would have much the same effect, but its hardly the same thing as if they were fast Lancer cavalry.

Basically, they'd come running across the side and either stab (if they had spears or lances) or slash (if they had swords) at the formation, taking a few out at a time. This worked best when the formation was already occupied, as it would both help the infantry holding the formation and massively hurt the moral of the enemy (because cavalry units charging your flanks repeatedly is scary as all shit).

Cela dit, on peut reconnaître que la rangée des Lannister est mince et que les Dothraki sont plus nombreux (même si dans les faits tu ne peux pas serrer les cavaliers autant que la piétaille donc ils sont toujours à un contre plusieurs). Si la formation des Lannisters est contournable ou les chevaux des Dothraki légèrement suicidaires, ou les armures trop faibles face aux "serpes" des barbares qui en sautent, c'est encore perdu pour Jaime visiblement... Après réflexion je crois que votre conclusion reste la plus probable du coup.