The clever thing would be if you COULD sing it in the exact key of the recording without reference to it! This would indicate some degree of Perfect Pitch.
Or maybe just physical memory, if you're used to singing along with the recording. The published sheet music of a song is often not in the exact same key as a well-known recording. I've sometimes played the written introduction on piano only to have a singer continue in the (different) pitch of the recording!
But, left to themselves, singers generally reproduce a song they've learned 'by ear' in whatever key they find comfortable. There's no conscious process of transposition - that's when an instrumentalist sees written music in n one key and plays it in another, and that IS clever! If you want a word to describe it, I'd suggest 'normal'.