For mounted soldiers at least, that depiction is very inaccurate. This is a fairly common question on here, and I'll look for some other responses in a few minutes.

For knights, the primary weapon was a lance or a pole arm of some kind. This afforded better range, and were much easier to produce. Its also simpler to train someone to use a pole arm than a sword. Swords were generally side arms for knights, while the lance was their primary weapon. Think pistol/rifle in the modern armed forces. Like a sword, the pistol has lower range, and is harder to use accurately.

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Heres one from about a year ago that gives a good explanation on why swords are romanticized - from u/cozyduck

Heres another, top comment is relevant to early middle age Britain - from u/PandaPornStar

This one explains that swords were status symbols, which was true in earlier periods, but not by the later middle age - from u/ADigitalWizard