[bigheadpercoli]

I'd say re-production and re-cognition are two separate skills.

I recognize the Mona Lisa when I see it, but I won't be able to reproduce it.

[crooked-v]

Or, in a non-visual field, consider instantly recognizing certain voices ("Good news, everyone!" "You may remember me from such films as..." "I will find you, and I will kill you.") to the effort it takes to imitate those voices well enough for someone else to know who you're imitating.