I feel that those poets will most likely forget the poems they have written! Because humans are not machines and their brain development is limited, they just compose poetry on the fly. Some of them can’t be remembered, but they will be recorded if they haven’t written a poem. It's just like having the artistic conception of the time and feeling it. The same goes for composers when writing lyrics. They just fill in the shoes of some beautiful words and phrases through the inspiration of a certain moment. Not all the words they have written into my poems can be remembered by them.
Just like singing, many original singers have sung songs hundreds of times and often forget the words when they go on stage. This is a normal phenomenon, so the poet has written hundreds of poems, and it is impossible for them to remember every poem he has ever written.
However, people with good memories can certainly remember every poem they have written, but there are many improvisational people who cannot remember every poem they have written. They are just a little stronger than normal people.