Honestly acknowledging their existence, as in the original quote, is probably a better route to their elimination than an emotionless assertion that losing arguments is good.

Possibly, but I certainly wasn't advocating an emotionless response. Fight fire with fire! If you realize you're feeling stupid for having been wrong instead of feeling excited to have learned something, go ahead and feel stupid for feeling stupid.

I think I understand the rationale behind the original quote: Being wrong feels awful, so you should try to be right as often as possible. But this emotional response also disincentivizes attempts to stick your neck out on behalf of your existing beliefs.

One might counter that a positive emotional response to being wrong provides an incentive for being wrong in the first place just so you can feel good about discarding your flawed beliefs in the future. This strikes me as a far less plausible mechanism than the above.