@Sleepographer Thanks for your feedback and your help, it's reassuring.
In one of my learning book I saw an example of this "pitch-accent". The example was HAshi (chopsticks) and haSHI (bridge). At least for this one, even without the good prononciation, they should understand that you're not asking for a bridge to eat your food 😄. I didn't know it was called "pitch-accent", thanks to you I have found some interesting videos of other examples.
My favorite anime is Hunter x Hunter. An older anime too: Saiyuuki. And a current one: Boku no hero academia. But there is a lot that I like