Sometimes, mainly when it is stuff that isn't rooted in true or false. If I am factually wrong, it isn't usually concious and I tend realize my mistake after the fact. If I am in the wrong in an emotional/moral way, I tend to realize my mistake while I am still emotionally charged, so I am not always ready to acknowledge it or effectively communicate my apology, though I still try to either admit fault or tell the other person I'd like to discuss it after I have calmed down.
Either way, I usually allow some amount of time for self reflection, which I think is better for me. It allows me to formulate my reasoning for apologizing/admitting my mistake, calm down, and let go of the ego. I have found that even if there is a long pause, the other person almost always will take the follow up discussion with kindness and respect, and appreciates the emotional/intellectual honesty and vulnerability. Nobody has ever rubbed it in my face. Which helps encourage the practice going forward.
It also, in general, facilitates better real-time admission of incorrectness to practice in this way.